Abstract
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.
Highlights
Many lifetime distributions have been proposed in the literature to analyze data with bathtub-shaped failure rates
We study the E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of the Chen distribution based on type-I censored data
We have studied the E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of the two-parameter bathtub-shape distribution proposed by Chen (2000)
Summary
Many lifetime distributions have been proposed in the literature to analyze data with bathtub-shaped failure rates. We study the E-Bayesian estimation of the scale parameter, reliability and hazard rate functions of the Chen distribution based on type-I censored data. All of these estimators are obtained under the assumption that the shape parameter is known. To the best of our knowledge, all the studies in the literature investigated the estimation problems of the Chen distribution based on classical and Bayesian methods of estimation under different censoring schemes It is the first time studying the E-Bayesian estimation of the scale parameter and the reliability characteristics. E-Bayesian estimation of the scale parameter, the reliability and hazard rate functions of the Chen distribution based on type-I censored data.
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