Publication: The Negative Binomial-Bilal Distribution: Regression Model and Applications to Health Care Data
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Issued Date
2025-12-05
Resource Type
ISSN
18162711
eISSN
22205810
Scopus ID
2-s2.0-105024710559
Journal Title
Pakistan Journal of Statistics and Operation Research
Volume
21
Issue
4
Start Page
619
End Page
630
Rights Holder(s)
SCOPUS
Bibliographic Citation
Pakistan Journal of Statistics and Operation Research Vol.21 No.4 (2025) , 619-630
Suggested Citation
Atikankul Y., Jornsatian C. The Negative Binomial-Bilal Distribution: Regression Model and Applications to Health Care Data. Pakistan Journal of Statistics and Operation Research Vol.21 No.4 (2025) , 619-630. 630. doi:10.18187/pjsor.v21i4.4566 Retrieved from: https://hdl.handle.net/20.500.14740/54981
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Abstract
In health care research, overdispersion often arises in count data. The Poisson distribution is a traditional distribution for modeling count data. However, it cannot handle overdispersed count data. This article introduces a new count distribution for overdispersed data. Statistical properties and a multivariate version of the proposed distribution are derived. Two parameter estimation methods are discussed by the maximum likelihood method and Bayesian approach. A simulation study is conducted to assess the performance of the estimators. A regression model based on the proposed distribution is constructed. Finally, two health care applications are analyzed to show the potential of the proposed distribution and its associated regression model.