The Poisson Distribution¶
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gsl_ran_poisson(mu)¶
This function returns a random variate from the Poisson distribution with mean
mu. The probability distribution for Poisson variates is,\[p(k) = {\mu^k \over k!} \exp(-\mu)\]for \(k \geq 0\).
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gsl_ran_poisson_pdf(k, mu)¶
This function computes the probability \(p(k)\) of obtaining \(k\) from a Poisson distribution with mean
mu, using the formula given above.
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gsl_cdf_poisson_P(k, mu)¶
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gsl_cdf_poisson_Q(k, mu)¶
These functions compute the cumulative distribution functions \(P(k), Q(k)\) for the Poisson distribution with parameter
mu.