## File: The-Pascal-Distribution.html

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 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107  GNU Scientific Library – Reference Manual: The Pascal Distribution

20.35 The Pascal Distribution

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

This function returns a random integer from the Pascal distribution. The Pascal distribution is simply a negative binomial distribution with an integer value of n.

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

for k >= 0

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

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

Function: double gsl_cdf_pascal_P (unsigned int k, double p, unsigned int n)
Function: double gsl_cdf_pascal_Q (unsigned int k, double p, unsigned int n)

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