A new mixed negative binomial regression model to analyze factors influencing the number of patients with respiratory disease and long-term effects of lung cancer
Abstract
This article aims to develop a new mixed distribution which mixes the negative binomial (NB) distribution and the modified quasi-Lindley (MQL) distribution. The new mixed NB distribution is called the negative binomial-modified quasi Lindley (NB-MQL) distribution. Parameters of the distribution and its regression coefficient are estimated using a Bayesian approach. The NB-MQL linear regression model is applied with an actual dataset with the characteristics of overdispersion of the count response variable. The results show that the NB-MQL model describes the factors influencing the number of patients with respiratory disease and long-term effects of lung cancer better than the NB and Poisson regression models.
- Published
- 10 October 2022
- Volume
- 2022 (2022)
- License
- CC BY 3.0
Copyright © 2022 Sirinapa Aryuyuen, Unchalee Tonggumnead. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. Aryuyuen, U. Tonggumnead, A new mixed negative binomial regression model to analyze factors influencing the number of patients with respiratory disease and long-term effects of lung cancer, Commun. Math. Biol. Neurosci. 2022 (2022), 103. https://doi.org/10.28919/cmbn/7705
BibTeX
@article{Aryuyuen2022,
author = {Aryuyuen, Sirinapa and Tonggumnead, Unchalee},
title = {A new mixed negative binomial regression model to analyze factors influencing the number of patients with respiratory disease and long-term effects of lung cancer},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2022},
year = {2022},
pages = {103},
doi = {10.28919/cmbn/7705}
}