Abstract
This article deals with the problem of estimating the parameters of the two-parameter exponential lifetime distribution based on Type-II hybrid censored samples from the Bayesian viewpoint. The scale and location parameters are assumed to have exponential and uniform priors respectively. Bayes point estimates and credible intervals for the unknown parameters are derived under the assumption of the squared error loss function. A lifetime real dataset is analyzed to motivate and to show the performance of the proposed Bayes estimates based on Type-II hybrid censoring scheme. Various Simulation studies are also provided in this paper to compare the proposed Bayes estimates with the existing classical estimates.
Highlights
This distribution plays an important role in survival and reliability analysis
Draper and Guttmann [10] considered the problem of estimating the one parameter exponential distribution from the Bayesian point of view based on TypeII hybrid censored sample
Singh and Prasad [11] and Prasad and Singh [5] proposed empirical Bayes estimate for the location parameter under the situation that the mean lifetime parameter is known based on complete sample
Summary
This distribution plays an important role in survival and reliability analysis (see [9] for instance). Classical literature for estimation the parameters of a two parameter exponential distribution based on hybrid censored samples includes Epstein [4], Lawless (1977), Childs et al [1], Childs et al [2] and Ganguly et al [3] This estimation problem has been considered by several authors in the literature from the Bayesian point of view. Bayes estimates for the scale and location parameters of a two exponential distribution are derived based on a Type-II hybrid censored sample. Bayes and maximum likelihood estimates for the scale and location parameters are derived in Section 3 based on complete and Type-II hybrid censored samples.
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