| publication name | BETA EXPONENTIATED INVERSE RAYLEIGH DISTRIBUTION: STATISTICAL PROPERTIES, BAYESIAN, AND NON-BAYESIAN ESTIMATION WITH APPLICATION |
|---|---|
| Authors | Nasr I. Rashwan, Zohdy M. Nofal, Yehia M. El Gebaly and Gehad M. Awad |
| year | 2021 |
| keywords | hazard rate function, moment generating function, Renyi entropy, beta distribution, beta exponentiated inverse Rayleigh, maximum likelihood, Bayesian estimation |
| journal | Advances and Applications in Statistics |
| volume | Volume 69 |
| issue | Number 1, 2021 |
| pages | Pages 85-114 |
| publisher | Advances and Applications in Statistics © 2021 Pushpa Publishing House, Prayagraj, India |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| Supplementary materials | Not Available |
Abstract
In this paper, a new distribution is proposed called beta exponentiated inverse Rayleigh (BEIR). Some of its statistical properties such as quantile function, order statistics, moments, inverse moments, moment generating function and Renyi entropy are derived and discussed. Maximum likelihood and Bayesian methods are used to estimate the model parameters. Monte-Carlo simulation study is carried out to examine the bias and mean square error of maximum likelihood and Bayesian estimators. Finally, real data sets are used to illustrate the importance of the new distribution.