Create UNU.RAN object for a Negative Binomial distribution with parameters size and prob.
[Distribution] -- Negative Binomial.
udnbinom(size, prob, lb =0, ub =Inf)
Arguments
size: target for number of successful trials, or dispersion parameter (the shape parameter of the gamma mixing distribution). Must be strictly positive.
prob: probability of success in each trial. 0 < prob <= 1.
lb: lower bound of (truncated) distribution.
ub: upper bound of (truncated) distribution.
Details
The Negative Binomial distribution with size=n and prob=p has density
for x=0,1,2,…, n>0 and 0<p≤1. This represents the number of failures which occur in a sequence of Bernoulli trials before a target number of successes is reached.
The domain of the distribution can be truncated to the interval (lb,ub).
Returns
An object of class "unuran.discr".
See Also
unuran.discr.
References
N.L. Johnson, S. Kotz, and A.W. Kemp (1992): Univariate Discrete Distributions. 2nd edition, John Wiley & Sons, Inc., New York. Sect. 5.1, p. 200.