negative binomial (Pascal) distribution
number of trials
probability of success
The negative binomial distribution is a discrete probability distribution with probability function given by:
subject to the following conditions:
The negative binomial distribution is also known as the Pascal distribution.
Note that the NegativeBinomial command is inert and should be used in combination with the RandomVariable command.
X ≔ RandomVariable⁡NegativeBinomial⁡x,p:
Evans, Merran; Hastings, Nicholas; and Peacock, Brian. Statistical Distributions. 3rd ed. Hoboken: Wiley, 2000.
Johnson, Norman L.; Kotz, Samuel; and Balakrishnan, N. Continuous Univariate Distributions. 2nd ed. 2 vols. Hoboken: Wiley, 1995.
Stuart, Alan, and Ord, Keith. Kendall's Advanced Theory of Statistics. 6th ed. London: Edward Arnold, 1998. Vol. 1: Distribution Theory.
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