The Logarithmic Distribution

gsl_ran_logarithmic(p)

This function returns a random integer from the logarithmic distribution. The probability distribution for logarithmic random variates is,

\[p(k) = {-1 \over \log(1-p)} {\left(p^k \over k\right)}\]

for \(k \geq 1\).

gsl_ran_logarithmic_pdf(k, p)

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