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<title>The Poisson Distribution - GNU Scientific Library -- Reference Manual</title>
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<h3 class="section">19.29 The Poisson Distribution</h3>
<div class="defun">
— Function: unsigned int <b>gsl_ran_poisson</b> (<var>const gsl_rng * r, double mu</var>)<var><a name="index-gsl_005fran_005fpoisson-1765"></a></var><br>
<blockquote><p><a name="index-Poisson-random-numbers-1766"></a>This function returns a random integer from the Poisson distribution
with mean <var>mu</var>. The probability distribution for Poisson variates is,
<pre class="example"> p(k) = {\mu^k \over k!} \exp(-\mu)
</pre>
<p class="noindent">for <!-- {$k \ge 0$} -->
k >= 0.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_ran_poisson_pdf</b> (<var>unsigned int k, double mu</var>)<var><a name="index-gsl_005fran_005fpoisson_005fpdf-1767"></a></var><br>
<blockquote><p>This function computes the probability p(k) of obtaining <var>k</var>
from a Poisson distribution with mean <var>mu</var>, using the formula
given above.
</p></blockquote></div>
<pre class="sp">
</pre>
<div class="defun">
— Function: double <b>gsl_cdf_poisson_P</b> (<var>unsigned int k, double mu</var>)<var><a name="index-gsl_005fcdf_005fpoisson_005fP-1768"></a></var><br>
— Function: double <b>gsl_cdf_poisson_Q</b> (<var>unsigned int k, double mu</var>)<var><a name="index-gsl_005fcdf_005fpoisson_005fQ-1769"></a></var><br>
<blockquote><p>These functions compute the cumulative distribution functions
P(k), Q(k) for the Poisson distribution with parameter
<var>mu</var>.
</p></blockquote></div>
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