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3 - Distributional Extensions and Generalities

Published online by Cambridge University Press:  02 March 2023

Kimberly F. Sellers
Kimberly F. Sellers
Affiliation:
Georgetown University, Washington DC
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Summary

The Conway–Maxwell–Poisson distribution has garnered interest in and development of other flexible alternatives to classical distributions. This chapter introduces various distributional extensions and generalities motivated by functions of COM–Poisson random variables, including Conway–Maxwell-inspired generalizations of the Skellam distribution, binomial distribution, negative binomial distribution, the Katz class of distributions, two flexible series system life length distributions, and generalizations of the negative hypergeometric distribution.

Keywords

Skellambinomialnegative binomialKatz classnegative hypergeometricover-dispersionunder-dispersion
Type
Chapter
Information
The Conway–Maxwell–Poisson Distribution , pp. 71 - 123
Publisher: Cambridge University Press
Print publication year: 2023

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