GNU Scientific Library – Reference Manual: The Exponential Power Distribution

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### 20.7 The Exponential Power Distribution

Function: double gsl_ran_exppow (const gsl_rng * r, double a, double b)

  This function returns a random variate from the exponential power distribution with scale parameter a and exponent b. The distribution is, for x >= 0. For b = 1 this reduces to the Laplace distribution. For b = 2 it has the same form as a Gaussian distribution, but with a = \sqrt{2} \sigma.

Function: double gsl_ran_exppow_pdf (double x, double a, double b)

  This function computes the probability density p(x) at x for an exponential power distribution with scale parameter a and exponent b, using the formula given above.

Function: double gsl_cdf_exppow_P (double x, double a, double b)
Function: double gsl_cdf_exppow_Q (double x, double a, double b)

  These functions compute the cumulative distribution functions P(x), Q(x) for the exponential power distribution with parameters a and b.