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<h1 class="title">std/stats</h1>
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<a class="reference reference-toplevel" href="#6" id="56">Imports</a>
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<li>
<details open>
<summary><a class="reference reference-toplevel" href="#7" id="57">Types</a></summary>
<ul class="simple simple-toc-section">
<li><a class="reference" href="#RunningRegress" title="RunningRegress = object
n*: int ## amount of pushed data
x_stats*: RunningStat ## stats for the first set of data
y_stats*: RunningStat ## stats for the second set of data">RunningRegress</a></li>
<li><a class="reference" href="#RunningStat" title="RunningStat = object
n*: int ## amount of pushed data
min*, max*, sum*: float ## self-explaining">RunningStat</a></li>
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</details>
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<details open>
<summary><a class="reference reference-toplevel" href="#12" id="62">Procs</a></summary>
<ul class="simple simple-toc-section">
<ul class="simple nested-toc-section">$
<li><a class="reference" href="#%24%2CRunningStat" title="`$`(a: RunningStat): string">`$`(a: RunningStat): string</a></li>
</ul>
<ul class="simple nested-toc-section">+
<li><a class="reference" href="#%2B%2CRunningRegress%2CRunningRegress" title="`+`(a, b: RunningRegress): RunningRegress">`+`(a, b: RunningRegress): RunningRegress</a></li>
<li><a class="reference" href="#%2B%2CRunningStat%2CRunningStat" title="`+`(a, b: RunningStat): RunningStat">`+`(a, b: RunningStat): RunningStat</a></li>
</ul>
<ul class="simple nested-toc-section">+=
<li><a class="reference" href="#%2B%3D%2CRunningRegress%2CRunningRegress" title="`+=`(a: var RunningRegress; b: RunningRegress)">`+=`(a: var RunningRegress; b: RunningRegress)</a></li>
<li><a class="reference" href="#%2B%3D%2CRunningStat%2CRunningStat" title="`+=`(a: var RunningStat; b: RunningStat)">`+=`(a: var RunningStat; b: RunningStat)</a></li>
</ul>
<ul class="simple nested-toc-section">clear
<li><a class="reference" href="#clear%2CRunningRegress" title="clear(r: var RunningRegress)">clear(r: var RunningRegress)</a></li>
<li><a class="reference" href="#clear%2CRunningStat" title="clear(s: var RunningStat)">clear(s: var RunningStat)</a></li>
</ul>
<ul class="simple nested-toc-section">correlation
<li><a class="reference" href="#correlation%2CRunningRegress" title="correlation(r: RunningRegress): float">correlation(r: RunningRegress): float</a></li>
</ul>
<ul class="simple nested-toc-section">intercept
<li><a class="reference" href="#intercept%2CRunningRegress" title="intercept(r: RunningRegress): float">intercept(r: RunningRegress): float</a></li>
</ul>
<ul class="simple nested-toc-section">kurtosis
<li><a class="reference" href="#kurtosis%2CRunningStat" title="kurtosis(s: RunningStat): float">kurtosis(s: RunningStat): float</a></li>
<li><a class="reference" href="#kurtosis%2CopenArray%5BT%5D" title="kurtosis[T](x: openArray[T]): float">kurtosis[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">kurtosisS
<li><a class="reference" href="#kurtosisS%2CRunningStat" title="kurtosisS(s: RunningStat): float">kurtosisS(s: RunningStat): float</a></li>
<li><a class="reference" href="#kurtosisS%2CopenArray%5BT%5D" title="kurtosisS[T](x: openArray[T]): float">kurtosisS[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">mean
<li><a class="reference" href="#mean%2CRunningStat" title="mean(s: RunningStat): float">mean(s: RunningStat): float</a></li>
<li><a class="reference" href="#mean%2CopenArray%5BT%5D" title="mean[T](x: openArray[T]): float">mean[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">push
<li><a class="reference" href="#push%2CRunningRegress%2Cfloat%2Cfloat" title="push(r: var RunningRegress; x, y: float)">push(r: var RunningRegress; x, y: float)</a></li>
<li><a class="reference" href="#push%2CRunningRegress%2Cint%2Cint" title="push(r: var RunningRegress; x, y: int)">push(r: var RunningRegress; x, y: int)</a></li>
<li><a class="reference" href="#push%2CRunningRegress%2CopenArray%5B%5D%2CopenArray%5B%5D" title="push(r: var RunningRegress; x, y: openArray[float | int])">push(r: var RunningRegress; x, y: openArray[float | int])</a></li>
<li><a class="reference" href="#push%2CRunningStat%2Cfloat" title="push(s: var RunningStat; x: float)">push(s: var RunningStat; x: float)</a></li>
<li><a class="reference" href="#push%2CRunningStat%2Cint" title="push(s: var RunningStat; x: int)">push(s: var RunningStat; x: int)</a></li>
<li><a class="reference" href="#push%2CRunningStat%2CopenArray%5B%5D" title="push(s: var RunningStat; x: openArray[float | int])">push(s: var RunningStat; x: openArray[float | int])</a></li>
</ul>
<ul class="simple nested-toc-section">skewness
<li><a class="reference" href="#skewness%2CRunningStat" title="skewness(s: RunningStat): float">skewness(s: RunningStat): float</a></li>
<li><a class="reference" href="#skewness%2CopenArray%5BT%5D" title="skewness[T](x: openArray[T]): float">skewness[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">skewnessS
<li><a class="reference" href="#skewnessS%2CRunningStat" title="skewnessS(s: RunningStat): float">skewnessS(s: RunningStat): float</a></li>
<li><a class="reference" href="#skewnessS%2CopenArray%5BT%5D" title="skewnessS[T](x: openArray[T]): float">skewnessS[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">slope
<li><a class="reference" href="#slope%2CRunningRegress" title="slope(r: RunningRegress): float">slope(r: RunningRegress): float</a></li>
</ul>
<ul class="simple nested-toc-section">standardDeviation
<li><a class="reference" href="#standardDeviation%2CRunningStat" title="standardDeviation(s: RunningStat): float">standardDeviation(s: RunningStat): float</a></li>
<li><a class="reference" href="#standardDeviation%2CopenArray%5BT%5D" title="standardDeviation[T](x: openArray[T]): float">standardDeviation[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">standardDeviationS
<li><a class="reference" href="#standardDeviationS%2CRunningStat" title="standardDeviationS(s: RunningStat): float">standardDeviationS(s: RunningStat): float</a></li>
<li><a class="reference" href="#standardDeviationS%2CopenArray%5BT%5D" title="standardDeviationS[T](x: openArray[T]): float">standardDeviationS[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">variance
<li><a class="reference" href="#variance%2CRunningStat" title="variance(s: RunningStat): float">variance(s: RunningStat): float</a></li>
<li><a class="reference" href="#variance%2CopenArray%5BT%5D" title="variance[T](x: openArray[T]): float">variance[T](x: openArray[T]): float</a></li>
</ul>
<ul class="simple nested-toc-section">varianceS
<li><a class="reference" href="#varianceS%2CRunningStat" title="varianceS(s: RunningStat): float">varianceS(s: RunningStat): float</a></li>
<li><a class="reference" href="#varianceS%2CopenArray%5BT%5D" title="varianceS[T](x: openArray[T]): float">varianceS[T](x: openArray[T]): float</a></li>
</ul>
</ul>
</details>
</li>
</ul>
</div>
<div class="nine columns" id="content">
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L1" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L1" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
<div id="tocRoot"></div>
<p class="module-desc"><p>Statistical analysis framework for performing basic statistical analysis of data. The data is analysed in a single pass, when it is pushed to a <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt> or <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningRegress</span></span></tt> object.</p>
<p><tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt> calculates for a single data set</p>
<ul class="simple"><li>n (data count)</li>
<li>min (smallest value)</li>
<li>max (largest value)</li>
<li>sum</li>
<li>mean</li>
<li>variance</li>
<li>varianceS (sample variance)</li>
<li>standardDeviation</li>
<li>standardDeviationS (sample standard deviation)</li>
<li>skewness (the third statistical moment)</li>
<li>kurtosis (the fourth statistical moment)</li>
</ul>
<p><tt class="docutils literal"><span class="pre"><span class="Identifier">RunningRegress</span></span></tt> calculates for two sets of data</p>
<ul class="simple"><li>n (data count)</li>
<li>slope</li>
<li>intercept</li>
<li>correlation</li>
</ul>
<p>Procs are provided to calculate statistics on <tt class="docutils literal"><span class="pre"><span class="Identifier">openArray</span></span></tt>s.</p>
<p>However, if more than a single statistical calculation is required, it is more efficient to push the data once to a <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt> object and then call the numerous statistical procs for the <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt> object:</p>
<p><strong class="examples_text">Example:</strong></p>
<pre class="listing"><span class="Keyword">import</span> <span class="Identifier">std</span><span class="Operator">/</span><span class="Identifier">stats</span>
<span class="Keyword">from</span> <span class="Identifier">std</span><span class="Operator">/</span><span class="Identifier">math</span> <span class="Keyword">import</span> <span class="Identifier">almostEqual</span>
<span class="Keyword">template</span> <span class="Punctuation">`</span><span class="Operator">~=</span><span class="Punctuation">`</span><span class="Punctuation">(</span><span class="Identifier">a</span><span class="Punctuation">,</span> <span class="Identifier">b</span><span class="Punctuation">:</span> <span class="Identifier">float</span><span class="Punctuation">)</span><span class="Punctuation">:</span> <span class="Identifier">bool</span> <span class="Operator">=</span> <span class="Identifier">almostEqual</span><span class="Punctuation">(</span><span class="Identifier">a</span><span class="Punctuation">,</span> <span class="Identifier">b</span><span class="Punctuation">)</span>
<span class="Keyword">var</span> <span class="Identifier">statistics</span><span class="Punctuation">:</span> <span class="Identifier">RunningStat</span> <span class="Comment"># must be var</span>
<span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">push</span><span class="Punctuation">(</span><span class="Operator">@</span><span class="Punctuation">[</span><span class="FloatNumber">1.0</span><span class="Punctuation">,</span> <span class="FloatNumber">2.0</span><span class="Punctuation">,</span> <span class="FloatNumber">1.0</span><span class="Punctuation">,</span> <span class="FloatNumber">4.0</span><span class="Punctuation">,</span> <span class="FloatNumber">1.0</span><span class="Punctuation">,</span> <span class="FloatNumber">4.0</span><span class="Punctuation">,</span> <span class="FloatNumber">1.0</span><span class="Punctuation">,</span> <span class="FloatNumber">2.0</span><span class="Punctuation">]</span><span class="Punctuation">)</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">n</span> <span class="Operator">==</span> <span class="DecNumber">8</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">mean</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="FloatNumber">2.0</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">variance</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="FloatNumber">1.5</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">varianceS</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="FloatNumber">1.714285714285715</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">skewness</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="FloatNumber">0.8164965809277261</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">skewnessS</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="FloatNumber">1.018350154434631</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">kurtosis</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="Operator">-</span><span class="FloatNumber">1.0</span>
<span class="Identifier">doAssert</span> <span class="Identifier">statistics</span><span class="Operator">.</span><span class="Identifier">kurtosisS</span><span class="Punctuation">(</span><span class="Punctuation">)</span> <span class="Operator">~=</span> <span class="Operator">-</span><span class="FloatNumber">0.7000000000000008</span></pre></p>
<div class="section" id="6">
<h1><a class="toc-backref" href="#6">Imports</a></h1>
<dl class="item">
<a class="reference external" href="math.html">math</a>, <a class="reference external" href="assertions.html">assertions</a>, <a class="reference external" href="formatfloat.html">formatfloat</a>
</dl>
</div>
<div class="section" id="7">
<h1><a class="toc-backref" href="#7">Types</a></h1>
<dl class="item">
<div id="RunningRegress">
<dt><pre><a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a> <span class="Other">=</span> <span class="Keyword">object</span>
<span class="Identifier">n</span><span class="Operator">*</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a> <span class="Comment">## amount of pushed data</span>
<span class="Identifier">x_stats</span><span class="Operator">*</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a> <span class="Comment">## stats for the first set of data</span>
<span class="Identifier">y_stats</span><span class="Operator">*</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a> <span class="Comment">## stats for the second set of data</span></pre></dt>
<dd>
An accumulator for regression calculations.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L71" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L71" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="RunningStat">
<dt><pre><a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a> <span class="Other">=</span> <span class="Keyword">object</span>
<span class="Identifier">n</span><span class="Operator">*</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a> <span class="Comment">## amount of pushed data</span>
<span class="Identifier">min</span><span class="Operator">*</span><span class="Other">,</span> <span class="Identifier">max</span><span class="Operator">*</span><span class="Other">,</span> <span class="Identifier">sum</span><span class="Operator">*</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> <span class="Comment">## self-explaining</span></pre></dt>
<dd>
An accumulator for statistical data.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L66" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L66" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</dl>
</div>
<div class="section" id="12">
<h1><a class="toc-backref" href="#12">Procs</a></h1>
<dl class="item">
<div id="$-procs-all">
<div id="$,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#%24%2CRunningStat"><span class="Identifier">`$`</span></a><span class="Other">(</span><span class="Identifier">a</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#string"><span class="Identifier">string</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Produces a string representation of the <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt>. The exact format is currently unspecified and subject to change. Currently it contains:<ul class="simple"><li>the number of probes</li>
<li>min, max values</li>
<li>sum, mean and standard deviation.</li>
</ul>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L199" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L199" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="+-procs-all">
<div id="+,RunningRegress,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#%2B%2CRunningRegress%2CRunningRegress"><span class="Identifier">`+`</span></a><span class="Other">(</span><span class="Identifier">a</span><span class="Other">,</span> <span class="Identifier">b</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
<p>Combines two <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningRegress</span></span></tt> objects.</p>
<p>Useful when performing parallel analysis of data series and needing to re-combine parallel result sets</p>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L317" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L317" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="+,RunningStat,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#%2B%2CRunningStat%2CRunningStat"><span class="Identifier">`+`</span></a><span class="Other">(</span><span class="Identifier">a</span><span class="Other">,</span> <span class="Identifier">b</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
<p>Combines two <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt>s.</p>
<p>Useful when performing parallel analysis of data series and needing to re-combine parallel result sets.</p>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L166" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L166" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="+=-procs-all">
<div id="+=,RunningRegress,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#%2B%3D%2CRunningRegress%2CRunningRegress"><span class="Identifier">`+=`</span></a><span class="Other">(</span><span class="Identifier">a</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">;</span> <span class="Identifier">b</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Adds the <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningRegress</span></span></tt> <tt class="docutils literal"><span class="pre"><span class="Identifier">b</span></span></tt> to <tt class="docutils literal"><span class="pre"><span class="Identifier">a</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L333" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L333" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="+=,RunningStat,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#%2B%3D%2CRunningStat%2CRunningStat"><span class="Identifier">`+=`</span></a><span class="Other">(</span><span class="Identifier">a</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">;</span> <span class="Identifier">b</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span> {.<span class="Identifier">inline</span><span class="Other">,</span> <span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Adds the <tt class="docutils literal"><span class="pre"><span class="Identifier">RunningStat</span></span></tt> <tt class="docutils literal"><span class="pre"><span class="Identifier">b</span></span></tt> to <tt class="docutils literal"><span class="pre"><span class="Identifier">a</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L195" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L195" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="clear-procs-all">
<div id="clear,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#clear%2CRunningRegress"><span class="Identifier">clear</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Resets <tt class="docutils literal"><span class="pre"><span class="Identifier">r</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L274" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L274" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="clear,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#clear%2CRunningStat"><span class="Identifier">clear</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Resets <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L79" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L79" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="correlation-procs-all">
<div id="correlation,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#correlation%2CRunningRegress"><span class="Identifier">correlation</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current correlation of the two data sets pushed into <tt class="docutils literal"><span class="pre"><span class="Identifier">r</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L311" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L311" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="intercept-procs-all">
<div id="intercept,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#intercept%2CRunningRegress"><span class="Identifier">intercept</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current intercept of <tt class="docutils literal"><span class="pre"><span class="Identifier">r</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L307" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L307" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="kurtosis-procs-all">
<div id="kurtosis,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#kurtosis%2CRunningStat"><span class="Identifier">kurtosis</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current population kurtosis of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L157" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L157" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="kurtosis,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#kurtosis%2CopenArray%5BT%5D"><span class="Identifier">kurtosis</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the population kurtosis of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L260" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L260" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="kurtosisS-procs-all">
<div id="kurtosisS,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#kurtosisS%2CRunningStat"><span class="Identifier">kurtosisS</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current sample kurtosis of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L161" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L161" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="kurtosisS,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#kurtosisS%2CopenArray%5BT%5D"><span class="Identifier">kurtosisS</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the sample kurtosis of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L266" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L266" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="mean-procs-all">
<div id="mean,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#mean%2CRunningStat"><span class="Identifier">mean</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current mean of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L127" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L127" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="mean,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#mean%2CopenArray%5BT%5D"><span class="Identifier">mean</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the mean of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L218" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L218" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="push-procs-all">
<div id="push,RunningRegress,float,float">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningRegress%2Cfloat%2Cfloat"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">,</span> <span class="Identifier">y</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Pushes two values <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> and <tt class="docutils literal"><span class="pre"><span class="Identifier">y</span></span></tt> for processing.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L281" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L281" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="push,RunningRegress,int,int">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningRegress%2Cint%2Cint"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">,</span> <span class="Identifier">y</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a><span class="Other">)</span> {.<span class="Identifier">inline</span><span class="Other">,</span> <span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
<p>Pushes two values <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> and <tt class="docutils literal"><span class="pre"><span class="Identifier">y</span></span></tt> for processing.</p>
<p><tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> and <tt class="docutils literal"><span class="pre"><span class="Identifier">y</span></span></tt> are converted to <tt class="docutils literal"><span class="pre"><span class="Identifier">float</span></span></tt> and the other push operation is called.</p>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L289" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L289" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="push,RunningRegress,openArray[],openArray[]">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningRegress%2CopenArray%5B%5D%2CopenArray%5B%5D"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">,</span> <span class="Identifier">y</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><a href="system.html#float"><span class="Identifier">float</span></a> <span class="Operator">|</span> <a href="system.html#int"><span class="Identifier">int</span></a><span class="Other">]</span><span class="Other">)</span></pre></dt>
<dd>
Pushes two sets of values <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> and <tt class="docutils literal"><span class="pre"><span class="Identifier">y</span></span></tt> for processing.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L296" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L296" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="push,RunningStat,float">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningStat%2Cfloat"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Pushes a value <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> for processing.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L90" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L90" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="push,RunningStat,int">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningStat%2Cint"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#int"><span class="Identifier">int</span></a><span class="Other">)</span> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
<p>Pushes a value <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> for processing.</p>
<p><tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> is simply converted to <tt class="docutils literal"><span class="pre"><span class="Identifier">float</span></span></tt> and the other push operation is called.</p>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L112" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L112" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="push,RunningStat,openArray[]">
<dt><pre><span class="Keyword">proc</span> <a href="#push%2CRunningStat%2CopenArray%5B%5D"><span class="Identifier">push</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <span class="Keyword">var</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">;</span> <span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><a href="system.html#float"><span class="Identifier">float</span></a> <span class="Operator">|</span> <a href="system.html#int"><span class="Identifier">int</span></a><span class="Other">]</span><span class="Other">)</span></pre></dt>
<dd>
<p>Pushes all values of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> for processing.</p>
<p>Int values of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt> are simply converted to <tt class="docutils literal"><span class="pre"><span class="Identifier">float</span></span></tt> and the other push operation is called.</p>
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L119" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L119" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="skewness-procs-all">
<div id="skewness,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#skewness%2CRunningStat"><span class="Identifier">skewness</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current population skewness of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L148" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L148" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="skewness,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#skewness%2CopenArray%5BT%5D"><span class="Identifier">skewness</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the population skewness of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L248" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L248" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="skewnessS-procs-all">
<div id="skewnessS,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#skewnessS%2CRunningStat"><span class="Identifier">skewnessS</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current sample skewness of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L152" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L152" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="skewnessS,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#skewnessS%2CopenArray%5BT%5D"><span class="Identifier">skewnessS</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the sample skewness of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L254" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L254" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="slope-procs-all">
<div id="slope,RunningRegress">
<dt><pre><span class="Keyword">proc</span> <a href="#slope%2CRunningRegress"><span class="Identifier">slope</span></a><span class="Other">(</span><span class="Identifier">r</span><span class="Other">:</span> <a href="stats.html#RunningRegress"><span class="Identifier">RunningRegress</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current slope of <tt class="docutils literal"><span class="pre"><span class="Identifier">r</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L302" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L302" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="standardDeviation-procs-all">
<div id="standardDeviation,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#standardDeviation%2CRunningStat"><span class="Identifier">standardDeviation</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current population standard deviation of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L140" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L140" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="standardDeviation,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#standardDeviation%2CopenArray%5BT%5D"><span class="Identifier">standardDeviation</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the population standard deviation of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L236" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L236" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="standardDeviationS-procs-all">
<div id="standardDeviationS,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#standardDeviationS%2CRunningStat"><span class="Identifier">standardDeviationS</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span>
<span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current sample standard deviation of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L144" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L144" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="standardDeviationS,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#standardDeviationS%2CopenArray%5BT%5D"><span class="Identifier">standardDeviationS</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the sample standard deviation of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L242" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L242" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="variance-procs-all">
<div id="variance,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#variance%2CRunningStat"><span class="Identifier">variance</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current population variance of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L131" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L131" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="variance,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#variance%2CopenArray%5BT%5D"><span class="Identifier">variance</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the population variance of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L224" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L224" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
</div>
<div id="varianceS-procs-all">
<div id="varianceS,RunningStat">
<dt><pre><span class="Keyword">proc</span> <a href="#varianceS%2CRunningStat"><span class="Identifier">varianceS</span></a><span class="Other">(</span><span class="Identifier">s</span><span class="Other">:</span> <a href="stats.html#RunningStat"><span class="Identifier">RunningStat</span></a><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a> {.<span><span class="Other pragmadots">...</span></span><span class="pragmawrap"><span class="Identifier">raises</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">tags</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span><span class="Other">,</span> <span class="Identifier">forbids</span><span class="Other">:</span> <span class="Other">[</span><span class="Other">]</span></span>.}</pre></dt>
<dd>
Computes the current sample variance of <tt class="docutils literal"><span class="pre"><span class="Identifier">s</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L135" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L135" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
</dd>
</div>
<div id="varianceS,openArray[T]">
<dt><pre><span class="Keyword">proc</span> <a href="#varianceS%2CopenArray%5BT%5D"><span class="Identifier">varianceS</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">(</span><span class="Identifier">x</span><span class="Other">:</span> <a href="system.html#openArray"><span class="Identifier">openArray</span></a><span class="Other">[</span><span class="Identifier">T</span><span class="Other">]</span><span class="Other">)</span><span class="Other">:</span> <a href="system.html#float"><span class="Identifier">float</span></a></pre></dt>
<dd>
Computes the sample variance of <tt class="docutils literal"><span class="pre"><span class="Identifier">x</span></span></tt>.
<a href="https://github.com/nim-lang/Nim/tree/devel/lib/pure/stats.nim#L230" class="link-seesrc" target="_blank">Source</a>&nbsp;&nbsp;
<a href="https://github.com/nim-lang/Nim/edit/devel/lib/pure/stats.nim#L230" class="link-seesrc" target="_blank" >Edit</a>&nbsp;&nbsp;
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