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<a name="The-Rayleigh-Tail-Distribution"></a>
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<p>
Next: <a href="The-Landau-Distribution.html#The-Landau-Distribution" accesskey="n" rel="next">The Landau Distribution</a>, Previous: <a href="The-Rayleigh-Distribution.html#The-Rayleigh-Distribution" accesskey="p" rel="previous">The Rayleigh Distribution</a>, Up: <a href="Random-Number-Distributions.html#Random-Number-Distributions" accesskey="u" rel="up">Random Number Distributions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="The-Rayleigh-Tail-Distribution-1"></a>
<h3 class="section">20.11 The Rayleigh Tail Distribution</h3>
<dl>
<dt><a name="index-gsl_005fran_005frayleigh_005ftail"></a>Function: <em>double</em> <strong>gsl_ran_rayleigh_tail</strong> <em>(const gsl_rng * <var>r</var>, double <var>a</var>, double <var>sigma</var>)</em></dt>
<dd><a name="index-Rayleigh-Tail-distribution"></a>
<p>This function returns a random variate from the tail of the Rayleigh
distribution with scale parameter <var>sigma</var> and a lower limit of
<var>a</var>.  The distribution is,
</p>
<div class="example">
<pre class="example">p(x) dx = {x \over \sigma^2} \exp ((a^2 - x^2) /(2 \sigma^2)) dx
</pre></div>

<p>for <em>x &gt; a</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fran_005frayleigh_005ftail_005fpdf"></a>Function: <em>double</em> <strong>gsl_ran_rayleigh_tail_pdf</strong> <em>(double <var>x</var>, double <var>a</var>, double <var>sigma</var>)</em></dt>
<dd><p>This function computes the probability density <em>p(x)</em> at <var>x</var>
for a Rayleigh tail distribution with scale parameter <var>sigma</var> and
lower limit <var>a</var>, using the formula given above.
</p></dd></dl>

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