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<title>GNU Scientific Library &ndash; Reference Manual: Running Statistics Current Statistics</title>

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<a name="Running-Statistics-Current-Statistics"></a>
<div class="header">
<p>
Next: <a href="Running-Statistics-Quantiles.html#Running-Statistics-Quantiles" accesskey="n" rel="next">Running Statistics Quantiles</a>, Previous: <a href="Running-Statistics-Adding-Data-to-the-Accumulator.html#Running-Statistics-Adding-Data-to-the-Accumulator" accesskey="p" rel="previous">Running Statistics Adding Data to the Accumulator</a>, Up: <a href="Running-Statistics.html#Running-Statistics" accesskey="u" rel="up">Running Statistics</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Current-Statistics"></a>
<h3 class="section">22.3 Current Statistics</h3>

<dl>
<dt><a name="index-gsl_005frstat_005fmin"></a>Function: <em>double</em> <strong>gsl_rstat_min</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the minimum value added to the accumulator.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fmax"></a>Function: <em>double</em> <strong>gsl_rstat_max</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the maximum value added to the accumulator.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fmean"></a>Function: <em>double</em> <strong>gsl_rstat_mean</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the mean of all data added to the accumulator,
defined as
</p>
<div class="example">
<pre class="example">\Hat\mu = (1/N) \sum x_i
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fvariance"></a>Function: <em>double</em> <strong>gsl_rstat_variance</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the variance of all data added to the accumulator,
defined as
</p>
<div class="example">
<pre class="example">\Hat\sigma^2 = (1/(N-1)) \sum (x_i - \Hat\mu)^2
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fsd"></a>Function: <em>double</em> <strong>gsl_rstat_sd</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the standard deviation of all data added to the
accumulator, defined as the square root of the variance given above.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fsd_005fmean"></a>Function: <em>double</em> <strong>gsl_rstat_sd_mean</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the standard deviation of the mean, defined as
</p>
<div class="example">
<pre class="example">sd_mean = \Hat\sigma / \sqrt{N}
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005frms"></a>Function: <em>double</em> <strong>gsl_rstat_rms</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the root mean square of all data added to the
accumulator, defined as
</p>
<div class="example">
<pre class="example">rms = \sqrt ( 1/N \sum x_i^2 )
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fskew"></a>Function: <em>double</em> <strong>gsl_rstat_skew</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the skewness of all data added to the accumulator,
defined as
</p>
<div class="example">
<pre class="example">skew = (1/N) \sum ((x_i - \Hat\mu)/\Hat\sigma)^3
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fkurtosis"></a>Function: <em>double</em> <strong>gsl_rstat_kurtosis</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns the kurtosis of all data added to the accumulator,
defined as
</p>
<div class="example">
<pre class="example">kurtosis = ((1/N) \sum ((x_i - \Hat\mu)/\Hat\sigma)^4)  - 3
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005frstat_005fmedian"></a>Function: <em>double</em> <strong>gsl_rstat_median</strong> <em>(gsl_rstat_workspace * <var>w</var>)</em></dt>
<dd><p>This function returns an estimate of the median of the data added to
the accumulator.
</p></dd></dl>

<hr>
<div class="header">
<p>
Next: <a href="Running-Statistics-Quantiles.html#Running-Statistics-Quantiles" accesskey="n" rel="next">Running Statistics Quantiles</a>, Previous: <a href="Running-Statistics-Adding-Data-to-the-Accumulator.html#Running-Statistics-Adding-Data-to-the-Accumulator" accesskey="p" rel="previous">Running Statistics Adding Data to the Accumulator</a>, Up: <a href="Running-Statistics.html#Running-Statistics" accesskey="u" rel="up">Running Statistics</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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