The Geometric Distribution¶
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gsl_ran_geometric(p)¶
This function returns a random integer from the geometric distribution, the number of independent trials with probability
puntil the first success. The probability distribution for geometric variates is,\[p(k) = p (1-p)^{k-1}\]for \(k \geq 1\). Note that the distribution begins with \(k=1\) with this definition. There is another convention in which the exponent \(k-1\) is replaced by \(k\).
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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.
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gsl_cdf_geometric_P(k, p)¶
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gsl_cdf_geometric_Q(k, p)¶
These functions compute the cumulative distribution functions \(P(k), Q(k)\) for the geometric distribution with parameter
p.