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 RRP £24.95 ($39.95) Get a printed copy>>>

GNU Scientific Library Reference Manual - Third Edition (v1.12) Buy the book here >>> support free software

19.31 The Binomial Distribution

Function: unsigned int gsl_ran_binomial (const gsl_rng * r, double p, unsigned int n)

This function returns a random integer from the binomial distribution, the number of successes in n independent trials with probability p. The probability distribution for binomial variates is,

p(k) = {n! \over k! (n-k)! } p^k (1-p)^{n-k}

for 0 <= k <= n.

Function: double gsl_ran_binomial_pdf (unsigned int k, double p, unsigned int n)

This function computes the probability p(k) of obtaining k from a binomial distribution with parameters p and n, using the formula given above.

Function: double gsl_cdf_binomial_P (unsigned int k, double p, unsigned int n)

Function: double gsl_cdf_binomial_Q (unsigned int k, double p, unsigned int n)

These functions compute the cumulative distribution functions P(k), Q(k) for the binomial distribution with parameters p and n.