On Estimating the Parameters of the Beta Inverted Exponential Distribution under Type-II Censored Samples

Maha A. Aldahlan, Rana A. Bakoban and Leena S. Alzahrani
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Maha A. Aldahlan: Department of Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
Rana A. Bakoban: Department of Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
Leena S. Alzahrani: Department of Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 3, 1-37

Abstract: This article aims to consider estimating the unknown parameters, survival, and hazard functions of the beta inverted exponential distribution. Two methods of estimation were used based on type-II censored samples: maximum likelihood and Bayes estimators. The Bayes estimators were derived using an informative gamma prior distribution under three loss functions: squared error, linear exponential, and general entropy. Furthermore, a Monte Carlo simulation study was carried out to compare the performance of different methods. The potentiality of this distribution is illustrated using two real-life datasets from difference fields. Further, a comparison between this model and some other models was conducted via information criteria. Our model performs the best fit for the real data.

Keywords: Bayes estimators; beta inverted exponential distribution; generalized hypergeometric function; loss functions; maximum likelihood estimators; simulation study; type-II censored samples (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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