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Dr. Gehad Mohamed Awad Ali :: Publications:

Title:
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 Gehad Mohamed Awad Ali_beird.pdf
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.

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