Standard Discrete Distributions

  • Anirban DasGupta
Part of the Springer Texts in Statistics book series (STS)


A few special discrete distributions arise very frequently in applications. Either the underlying probability mechanism of a problem is such that one of these distributions is truly the correct distribution for that problem or the problem may be such that one of these distributions is a very good choice to model that problem. We present these distributions and study their basic properties in this chapter; they deserve the special attention because of their importance in applications. The special distributions we present are the discrete uniform, binomial, geometric, negative binomial, hypergeometric, and Poisson. Benford’s distribution is also covered briefly. A few other special distributions are covered in the chapter exercises.


Negative Binomial Distribution Geometric Distribution Hypergeometric Distribution Bernoulli Trial Fair Coin 
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© Springer-Verlag New York 2010

Authors and Affiliations

  1. 1.Dept. Statistics & MathematicsPurdue UniversityWest LafayetteUSA

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