GNU Scientific Library – Reference Manual: The Logarithmic Distribution

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### 20.38 The Logarithmic Distribution

Function: unsigned int gsl_ran_logarithmic (const gsl_rng * r, double 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)} {(p^k \over k)}

  for k >= 1.

Function: double gsl_ran_logarithmic_pdf (unsigned int k, double p)

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