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On uniform-negative binomial distribution including Gauss hypergeometric function and its application in count regression modeling

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  • Deepesh Bhati
  • Ishfaq S. Ahmed

Abstract

In this article, we propose a new monotonically decreasing count model which includes Gauss hypergeometric function and is suitable for Zero vertex, over dispersed dataset. Though the proposed model includes Gauss hypergeometric function, nevertheless it possesses simple and closed expressions for various distributional characteristics. An application to count regression modeling using a well-known dataset from the National Medical Expenditure Survey is discussed by considering the length of stay in hospitalization as a dependent variable and following the proposed count model. We compare our result with the classical negative binomial regression model and uniform-Poisson regression model.

Suggested Citation

  • Deepesh Bhati & Ishfaq S. Ahmed, 2021. "On uniform-negative binomial distribution including Gauss hypergeometric function and its application in count regression modeling," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(13), pages 3106-3122, July.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:13:p:3106-3122
    DOI: 10.1080/03610926.2019.1682163
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    Cited by:

    1. Alexey Kudryavtsev & Oleg Shestakov, 2023. "Limit Distributions for the Estimates of the Digamma Distribution Parameters Constructed from a Random Size Sample," Mathematics, MDPI, vol. 11(8), pages 1-13, April.

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