Tajuddin, Razik Ridzuan Mohd and Ismail, Noriszura and Ibrahim, Kamarulzaman and Abu Bakar, Shaiful Anuar (2022) A new zero-one-inflated poisson-lindley distribution for modelling overdispersed count data. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 45 (SUPPL). pp. 21-35. ISSN 2180-4206, DOI https://doi.org/10.1007/s40840-021-01222-8.
Full text not available from this repository.Abstract
Many studies have considered mixed Poisson distributions as alternatives for fitting count data with overdispersion. However, in some cases, the data have an abundance of zeros and ones which makes modelling using distributions with no consideration to the inflated values less desirable. This study aims to introduce a new distribution for count data with inflated values at zero and one, known as zero-one-inflated Poisson-Lindley distribution. The statistical properties of the proposed distribution are discussed. Furthermore, the maximum likelihood and method of moments for the parameters of the proposed distribution are developed. A simulation study is conducted to investigate the performance of the zero-one-inflated Poisson-Lindley distribution in describing overdispersed data with excess zeros and ones by changing the proportion of zeros and ones in the data. It is found that the fitting of the zero-one-inflated Poisson-Lindley distribution always gives a larger log-likelihood value than the fitting of the zero-one-inflated Poisson distribution. The results from the applications of the real datasets with an overdispersed property as well as a large number of ones and zeros conclude that the proposed distribution provides the best fit compared to other contending distributions in the study.
| Item Type: | Article |
|---|---|
| Funders: | Ministry of Education, Malaysia [FRGS/1/2019/STG06/UKM/01/5], Universiti Kebangsaan Malaysia [GUP-2019-031] |
| Uncontrolled Keywords: | Excess ones; Excess zeros; Dispersion; Zero-and-one inflated |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Institute of Mathematical Sciences |
| Depositing User: | Ms Koh Ai Peng |
| Date Deposited: | 22 Jul 2024 08:41 |
| Last Modified: | 22 Jul 2024 08:41 |
| URI: | http://eprints.um.edu.my/id/eprint/46288 |
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