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Next: <a rel="next" accesskey="n" href="The-Hypergeometric-Distribution.html">The Hypergeometric Distribution</a>,
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<h3 class="section">19.35 The Geometric Distribution</h3>
<div class="defun">
— Function: unsigned int <b>gsl_ran_geometric</b> (<var>const gsl_rng * r, double p</var>)<var><a name="index-gsl_005fran_005fgeometric-1791"></a></var><br>
<blockquote><p><a name="index-Geometric-random-variates-1792"></a>This function returns a random integer from the geometric distribution,
the number of independent trials with probability <var>p</var> until the
first success. The probability distribution for geometric variates
is,
<pre class="example"> p(k) = p (1-p)^(k-1)
</pre>
<p class="noindent">for <!-- {$k \ge 1$} -->
k >= 1. Note that the distribution begins with k=1 with this
definition. There is another convention in which the exponent k-1
is replaced by k.
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_ran_geometric_pdf</b> (<var>unsigned int k, double p</var>)<var><a name="index-gsl_005fran_005fgeometric_005fpdf-1793"></a></var><br>
<blockquote><p>This function computes the probability p(k) of obtaining <var>k</var>
from a geometric distribution with probability parameter <var>p</var>, using
the formula given above.
</p></blockquote></div>
<pre class="sp">
</pre>
<div class="defun">
— Function: double <b>gsl_cdf_geometric_P</b> (<var>unsigned int k, double p</var>)<var><a name="index-gsl_005fcdf_005fgeometric_005fP-1794"></a></var><br>
— Function: double <b>gsl_cdf_geometric_Q</b> (<var>unsigned int k, double p</var>)<var><a name="index-gsl_005fcdf_005fgeometric_005fQ-1795"></a></var><br>
<blockquote><p>These functions compute the cumulative distribution functions
P(k), Q(k) for the geometric distribution with parameter
<var>p</var>.
</p></blockquote></div>
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