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  • 3 - Distributional Extensions and Generalities

  • Kimberly F. Sellers, Georgetown University, Washington DC
  • Book:
    The Conway–Maxwell–Poisson Distribution
    Published online:
    02 March 2023
    Print publication:
    09 March 2023, pp 71-123

  • 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.