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GNU Scientific Library Reference Manual - Third Edition (v1.12)
by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi
Paperback (6"x9"), 592 pages, 60 figures
ISBN 0954612078
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19.26 The Type-2 Gumbel Distribution

Function: double gsl_ran_gumbel2 (const gsl_rng * r, double a, double b)
This function returns a random variate from the Type-2 Gumbel distribution. The Type-2 Gumbel distribution function is,
p(x) dx = a b x^{-a-1} \exp(-b x^{-a}) dx

for 0 < x < \infty.

Function: double gsl_ran_gumbel2_pdf (double x, double a, double b)
This function computes the probability density p(x) at x for a Type-2 Gumbel distribution with parameters a and b, using the formula given above.

Function: double gsl_cdf_gumbel2_P (double x, double a, double b)
Function: double gsl_cdf_gumbel2_Q (double x, double a, double b)
Function: double gsl_cdf_gumbel2_Pinv (double P, double a, double b)
Function: double gsl_cdf_gumbel2_Qinv (double Q, double a, double b)
These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Type-2 Gumbel distribution with parameters a and b.
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition