![]() Such an assertion can then be used in functions such as Probability, NProbability, Expectation, and NExpectation. Distributed ], written more concisely as x NegativeBinomialDistribution, can be used to assert that a random variable x is distributed according to a negative binomial distribution. RandomVariate can be used to give one or more machine- or arbitrary-precision (the latter via the WorkingPrecision option) pseudorandom variates from a negative binomial distribution. ![]() The negative binomial distribution has played an increasingly significant role in probability and stochastics since the 1990s and has also been used to model phenomena including accident statistics, birth-and-death processes, consumer expenditure, biometrics, and retail inventory management. For general n, several distributions dating to the 1940s have been proposed and referred to as negative binomial distributions, though the above-stated NegativeBinomialDistribution (which was proposed considerably later) is the most widely used in modern applications. For noninteger parameter n, the negative binomial distribution is also known as the P ólya distribution. This is closely related to the Pascal distribution ( PascalDistribution) and dates back to Pascal's work in the 17 century.
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