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<title>GNU Scientific Library &ndash; Reference Manual: Histograms</title>

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<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Histograms"></a>
<div class="header">
<p>
Next: <a href="N_002dtuples.html#N_002dtuples" accesskey="n" rel="next">N-tuples</a>, Previous: <a href="Running-Statistics.html#Running-Statistics" accesskey="p" rel="previous">Running Statistics</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Histograms-1"></a>
<h2 class="chapter">23 Histograms</h2>
<a name="index-histograms"></a>
<a name="index-binning-data"></a>
<p>This chapter describes functions for creating histograms.  Histograms
provide a convenient way of summarizing the distribution of a set of
data. A histogram consists of a set of <em>bins</em> which count the number
of events falling into a given range of a continuous variable <em>x</em>.
In GSL the bins of a histogram contain floating-point numbers, so they
can be used to record both integer and non-integer distributions.  The
bins can use arbitrary sets of ranges (uniformly spaced bins are the
default).  Both one and two-dimensional histograms are supported.
</p>
<p>Once a histogram has been created it can also be converted into a
probability distribution function.  The library provides efficient
routines for selecting random samples from probability distributions.
This can be useful for generating simulations based on real data.
</p>
<p>The functions are declared in the header files <samp>gsl_histogram.h</samp>
and <samp>gsl_histogram2d.h</samp>.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="The-histogram-struct.html#The-histogram-struct" accesskey="1">The histogram struct</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Histogram-allocation.html#Histogram-allocation" accesskey="2">Histogram allocation</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Copying-Histograms.html#Copying-Histograms" accesskey="3">Copying Histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Updating-and-accessing-histogram-elements.html#Updating-and-accessing-histogram-elements" accesskey="4">Updating and accessing histogram elements</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Searching-histogram-ranges.html#Searching-histogram-ranges" accesskey="5">Searching histogram ranges</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Histogram-Statistics.html#Histogram-Statistics" accesskey="6">Histogram Statistics</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Histogram-Operations.html#Histogram-Operations" accesskey="7">Histogram Operations</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Reading-and-writing-histograms.html#Reading-and-writing-histograms" accesskey="8">Reading and writing histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Resampling-from-histograms.html#Resampling-from-histograms" accesskey="9">Resampling from histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="The-histogram-probability-distribution-struct.html#The-histogram-probability-distribution-struct">The histogram probability distribution struct</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Example-programs-for-histograms.html#Example-programs-for-histograms">Example programs for histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Two-dimensional-histograms.html#Two-dimensional-histograms">Two dimensional histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="The-2D-histogram-struct.html#The-2D-histogram-struct">The 2D histogram struct</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="2D-Histogram-allocation.html#g_t2D-Histogram-allocation">2D Histogram allocation</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Copying-2D-Histograms.html#Copying-2D-Histograms">Copying 2D Histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Updating-and-accessing-2D-histogram-elements.html#Updating-and-accessing-2D-histogram-elements">Updating and accessing 2D histogram elements</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Searching-2D-histogram-ranges.html#Searching-2D-histogram-ranges">Searching 2D histogram ranges</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="2D-Histogram-Statistics.html#g_t2D-Histogram-Statistics">2D Histogram Statistics</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="2D-Histogram-Operations.html#g_t2D-Histogram-Operations">2D Histogram Operations</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Reading-and-writing-2D-histograms.html#Reading-and-writing-2D-histograms">Reading and writing 2D histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Resampling-from-2D-histograms.html#Resampling-from-2D-histograms">Resampling from 2D histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Example-programs-for-2D-histograms.html#Example-programs-for-2D-histograms">Example programs for 2D histograms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>

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Next: <a href="N_002dtuples.html#N_002dtuples" accesskey="n" rel="next">N-tuples</a>, Previous: <a href="Running-Statistics.html#Running-Statistics" accesskey="p" rel="previous">Running Statistics</a>, Up: <a href="index.html#Top" accesskey="u" rel="up">Top</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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