Zero-truncated Poisson-Bilal distribution and its applications to biological sciences
Abstract
This paper proposes a zero-truncated version of the Poisson-Bilal distribution called the zero-truncated Poisson-Bilal (ZTPB) distribution. The ZTPB distribution with one parameter can be used to model extremely right-skewed and one-inflated count data sets. The method of maximum likelihood is used to estimate the parameter in the model. Its application to some real data sets from biological science has been given. Based on the goodness of fit, the ZTPB distribution gives a better fit than some zero-truncated distributions with one parameter. Based on the simulation study, the maximum likelihood estimator gives the estimate value is close to the true value.
- Published
- 8 August 2024
- Volume
- 2024 (2024)
- License
- CC BY 3.0
Copyright © 2024 Thanasate Akkanphudit. 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
T. Akkanphudit, Zero-truncated Poisson-Bilal distribution and its applications to biological sciences, Commun. Math. Biol. Neurosci. 2024 (2024), 87. https://doi.org/10.28919/cmbn/8725
BibTeX
@article{Akkanphudit2024,
author = {Akkanphudit, Thanasate},
title = {Zero-truncated Poisson-Bilal distribution and its applications to biological sciences},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2024},
year = {2024},
pages = {87},
doi = {10.28919/cmbn/8725}
}