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<title>GNU Scientific Library – Reference Manual: The Logistic Distribution</title>
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<a name="The-Logistic-Distribution"></a>
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<p>
Next: <a href="The-Pareto-Distribution.html#The-Pareto-Distribution" accesskey="n" rel="next">The Pareto Distribution</a>, Previous: <a href="The-Beta-Distribution.html#The-Beta-Distribution" accesskey="p" rel="previous">The Beta Distribution</a>, Up: <a href="Random-Number-Distributions.html#Random-Number-Distributions" accesskey="u" rel="up">Random Number Distributions</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="The-Logistic-Distribution-1"></a>
<h3 class="section">20.21 The Logistic Distribution</h3>
<dl>
<dt><a name="index-gsl_005fran_005flogistic"></a>Function: <em>double</em> <strong>gsl_ran_logistic</strong> <em>(const gsl_rng * <var>r</var>, double <var>a</var>)</em></dt>
<dd><a name="index-Logistic-distribution"></a>
<p>This function returns a random variate from the logistic
distribution. The distribution function is,
for <em>-\infty < x < +\infty</em>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fran_005flogistic_005fpdf"></a>Function: <em>double</em> <strong>gsl_ran_logistic_pdf</strong> <em>(double <var>x</var>, double <var>a</var>)</em></dt>
<dd><p>This function computes the probability density <em>p(x)</em> at <var>x</var>
for a logistic distribution with scale parameter <var>a</var>, using the
formula given above.
</p></dd></dl>
<br>
<dl>
<dt><a name="index-gsl_005fcdf_005flogistic_005fP"></a>Function: <em>double</em> <strong>gsl_cdf_logistic_P</strong> <em>(double <var>x</var>, double <var>a</var>)</em></dt>
<dt><a name="index-gsl_005fcdf_005flogistic_005fQ"></a>Function: <em>double</em> <strong>gsl_cdf_logistic_Q</strong> <em>(double <var>x</var>, double <var>a</var>)</em></dt>
<dt><a name="index-gsl_005fcdf_005flogistic_005fPinv"></a>Function: <em>double</em> <strong>gsl_cdf_logistic_Pinv</strong> <em>(double <var>P</var>, double <var>a</var>)</em></dt>
<dt><a name="index-gsl_005fcdf_005flogistic_005fQinv"></a>Function: <em>double</em> <strong>gsl_cdf_logistic_Qinv</strong> <em>(double <var>Q</var>, double <var>a</var>)</em></dt>
<dd><p>These functions compute the cumulative distribution functions
<em>P(x)</em>, <em>Q(x)</em> and their inverses for the logistic
distribution with scale parameter <var>a</var>.
</p></dd></dl>
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