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A rich family of generalized Poisson regression models with applications

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  • Bae, S.
  • Famoye, F.
  • Wulu, J.T.
  • Bartolucci, A.A.
  • Singh, K.P.

Abstract

The Poisson regression (PR) model is inappropriate for modeling over- or under-dispersed (or inflated) data. Several generalizations of PR model have been proposed for modeling such data. In this paper, a rich family of generalized Poisson regression (GPR) models is reviewed in detail. The family has a wide range of applications in various disciplines including agriculture, econometrics, patent applications, species abundance, medicine, and use of recreational facilities. For illustrating the usefulness of the family, several applications with different situations are given. For example, hospital discharge counts are modeled using GPR and other generalized models, in which the applied models show that household size, education, and income are positively related to diagnosis-related groups (DRGs) hospital discharges. One of the advantages of using the family is that it lets data determine which model is appropriate for a given situation. It is expected that the results discussed in the paper would enhance our understanding of various forms of count data originating from primary health care facilities and medical domains.

Suggested Citation

  • Bae, S. & Famoye, F. & Wulu, J.T. & Bartolucci, A.A. & Singh, K.P., 2005. "A rich family of generalized Poisson regression models with applications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 69(1), pages 4-11.
    • Handle: RePEc:eee:matcom:v:69:y:2005:i:1:p:4-11
    DOI: 10.1016/j.matcom.2005.02.026
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    2. Feng-Chang Xie & Jin-Guan Lin & Bo-Cheng Wei, 2010. "Testing for varying zero-inflation and dispersion in generalized Poisson regression models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(9), pages 1509-1522.
    3. Adewale Isaac Olutumise & Taiwo Olarotimi Oladayo & Lawrence Olusola Oparinde & Igbekele Amos Ajibefun & Taye Timothy Amos & Yiseyon Sunday Hosu & Idowu Alimi, 2023. "Determinants of Health Management Practices’ Utilization and Its Effect on Poultry Farmers’ Income in Ondo State, Nigeria," Sustainability, MDPI, vol. 15(3), pages 1-21, January.
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    6. Sima Ghazanfari & Ali Firoozzare & Daniela Covino & Flavio Boccia & Nadia Palmieri, 2024. "Exploring Factors Influencing Consumers’ Willingness to Pay Healthy-Labeled Foods at a Premium Price," Sustainability, MDPI, vol. 16(16), pages 1-20, August.
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    8. Min-Hsiao Tsai & Ting Hsiang Lin, 2017. "Modeling data with a truncated and inflated Poisson distribution," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 26(3), pages 383-401, August.

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