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Bayesian and Empirical Bayesian estimatiors of the parameter of one-parameter exponential distribution are obtained under a precautionary loss function based on progressively Type-II censored samples. The admissibility and inadmissibility of estimatrors with linear form are also discussed.
The aim of this study is to study the Bayes estimation of parameter of exponential distribution under a bounded loss function, named reflected gamma loss function, which proposed by Towhidi and Behboodian (1999). The inverse Gamma prior distribution is used as the prior distribution of the parameter of exponential distribution. Bayesian estimators are(More)
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