The Geometric Distribution¶

gsl_ran_geometric
(p)¶ This function returns a random integer from the geometric distribution, the number of independent trials with probability
p
until the first success. The probability distribution for geometric variates is,\[p(k) = p (1p)^{k1}\]for \(k \geq 1\). Note that the distribution begins with \(k=1\) with this definition. There is another convention in which the exponent \(k1\) is replaced by \(k\).

gsl_ran_geometric_pdf
(k, p)¶ This function computes the probability \(p(k)\) of obtaining \(k\) from a geometric distribution with probability parameter
p
, using the formula given above.

gsl_cdf_geometric_P
(k, p)¶

gsl_cdf_geometric_Q
(k, p)¶ These functions compute the cumulative distribution functions \(P(k), Q(k)\) for the geometric distribution with parameter
p
.