GNU Scientific Library – Reference Manual: The Rayleigh Tail Distribution

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### 20.11 The Rayleigh Tail Distribution

Function: double gsl_ran_rayleigh_tail (const gsl_rng * r, double a, double sigma)

  This function returns a random variate from the tail of the Rayleigh distribution with scale parameter sigma and a lower limit of a. The distribution is,

      p(x) dx = {x \over \sigma^2} \exp ((a^2 - x^2) /(2 \sigma^2)) dx

  for x > a.

Function: double gsl_ran_rayleigh_tail_pdf (double x, double a, double sigma)

  This function computes the probability density p(x) at x for a Rayleigh tail distribution with scale parameter sigma and lower limit a, using the formula given above.