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Abstract
In this paper, Bayesian and non-Bayesian estimators have been obtained for two generalized exponential populations under joint type II censored scheme, which generalize results of Balakrishnan and Rasouli (2008) and Shafay et al. (2013). The maximum likelihood estimators (MLEs) of the parameters and Bayes estimators have been developed under squared error loss function as well as under LINEX loss function. Moreover, approximate confidence region are also discussed and compared with two Bootstrap confidence regions. Also the MLE and three confidence intervals for the stress–strength parameter are explored. A numerical illustration for these new results is given.
Keywords
Generalized exponential distribution
joint type-II censoring
maximum likelihood estimation
Confidence bounds
Bootstrap intervals
Coverage probabilities
Bayesian estimation
squared-error loss
linear-exponential loss
stress–strength reliability.
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How to Cite
Ashour, S. K., & Abo-Kasem, O. E. (2014). Bayesian and Non–Bayesian Estimation for Two Generalized Exponential Populations Under Joint Type II Censored Scheme. Pakistan Journal of Statistics and Operation Research, 10(1), 57-72. https://doi.org/10.18187/pjsor.v10i1.710