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<title>The Logistic Distribution - GNU Scientific Library -- Reference Manual</title>
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<h3 class="section">19.21 The Logistic Distribution</h3>
<div class="defun">
— Function: double <b>gsl_ran_logistic</b> (<var>const gsl_rng * r, double a</var>)<var><a name="index-gsl_005fran_005flogistic-1702"></a></var><br>
<blockquote><p><a name="index-Logistic-distribution-1703"></a>This function returns a random variate from the logistic
distribution. The distribution function is,
<pre class="example"> p(x) dx = { \exp(-x/a) \over a (1 + \exp(-x/a))^2 } dx
</pre>
<p class="noindent">for -\infty < x < +\infty.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_ran_logistic_pdf</b> (<var>double x, double a</var>)<var><a name="index-gsl_005fran_005flogistic_005fpdf-1704"></a></var><br>
<blockquote><p>This function computes the probability density p(x) at <var>x</var>
for a logistic distribution with scale parameter <var>a</var>, using the
formula given above.
</p></blockquote></div>
<pre class="sp">
</pre>
<div class="defun">
— Function: double <b>gsl_cdf_logistic_P</b> (<var>double x, double a</var>)<var><a name="index-gsl_005fcdf_005flogistic_005fP-1705"></a></var><br>
— Function: double <b>gsl_cdf_logistic_Q</b> (<var>double x, double a</var>)<var><a name="index-gsl_005fcdf_005flogistic_005fQ-1706"></a></var><br>
— Function: double <b>gsl_cdf_logistic_Pinv</b> (<var>double P, double a</var>)<var><a name="index-gsl_005fcdf_005flogistic_005fPinv-1707"></a></var><br>
— Function: double <b>gsl_cdf_logistic_Qinv</b> (<var>double Q, double a</var>)<var><a name="index-gsl_005fcdf_005flogistic_005fQinv-1708"></a></var><br>
<blockquote><p>These functions compute the cumulative distribution functions
P(x), Q(x) and their inverses for the logistic
distribution with scale parameter <var>a</var>.
</p></blockquote></div>
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