E-Bayesian Estimation of Chen Distribution Based on Type-I Censoring Scheme

In this paper, E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of Chen distribution are considered when a sample is obtained from a type-I censoring scheme. The E-Bayesian estimators are obtained based on the balanced squared error loss function and using the gamm...

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Bibliographic Details
Main Authors: Ali Algarni, Abdullah M. Almarashi, Hassan Okasha, Hon Keung Tony Ng
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/6/636
Description
Summary:In this paper, E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of Chen distribution are considered when a sample is obtained from a type-I censoring scheme. The E-Bayesian estimators are obtained based on the balanced squared error loss function and using the gamma distribution as a conjugate prior for the unknown scale parameter. Also, the E-Bayesian estimators are derived using three different distributions for the hyper-parameters. Some properties of E-Bayesian estimators based on balanced squared error loss function are discussed. A simulation study is performed to compare the efficiencies of different estimators in terms of minimum mean squared errors. Finally, a real data set is analyzed to illustrate the applicability of the proposed estimators.
ISSN:1099-4300