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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. RossiPaperback (6"x9"), 592 pages, 60 figuresISBN 0954612078RRP £24.95 (\$39.95)

## 19.6 The Laplace Distribution

Function: double gsl_ran_laplace (const gsl_rng * r, double a)
This function returns a random variate from the Laplace distribution with width a. The distribution is,
p(x) dx = {1 \over 2 a}  \exp(-|x/a|) dx


for -\infty < x < \infty.

Function: double gsl_ran_laplace_pdf (double x, double a)
This function computes the probability density p(x) at x for a Laplace distribution with width a, using the formula given above.

Function: double gsl_cdf_laplace_P (double x, double a)
Function: double gsl_cdf_laplace_Q (double x, double a)
Function: double gsl_cdf_laplace_Pinv (double P, double a)
Function: double gsl_cdf_laplace_Qinv (double Q, double a)
These functions compute the cumulative distribution functions P(x), Q(x) and their inverses for the Laplace distribution with width a.
 ISBN 0954612078 GNU Scientific Library Reference Manual - Third Edition (v1.12) See the print edition