The Pascal Distribution¶
-
gsl_ran_pascal(p, 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 \(k \geq 0\)
-
gsl_ran_pascal_pdf(k, p, n)¶
This function computes the probability \(p(k)\) of obtaining \(k\) from a Pascal distribution with parameters
pandn, using the formula given above.
-
gsl_cdf_pascal_P(k, p, n)¶
-
gsl_cdf_pascal_Q(k, p, n)¶
These functions compute the cumulative distribution functions \(P(k), Q(k)\) for the Pascal distribution with parameters
pandn.