2012International Journal of Applied Mathematical ResearchOpen access

Comparison of Bayesian Estimation Methods for Rayleigh Progressive Censored Data Under the Different Asymmetric Loss Function

Reza Azimi, Farhad Yaghmaei, Dariosh Azimi

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Abstract

In this paper, given a progressively type II censored sample from a Rayleigh distribution, the Bayesian estimators of parameter and Reliability function are obtained under asymmetric loss functions such as LINEX loss function, Precautionary loss function, entropy loss function for the parameter and reliability function.Comparisons of these estimators are made through simulation study.

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In this paper, given a progressively type II censored sample from a Rayleigh distribution, the Bayesian estimators of parameter and Reliability function are obtained under asymmetric loss functions such as LINEX loss function, Precautionary loss function, entropy loss function for the parameter and reliability function.Comparisons of these estimators are made through simulation study.

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Available abstract

In this paper, given a progressively type II censored sample from a Rayleigh distribution, the Bayesian estimators of parameter and Reliability function are obtained under asymmetric loss functions such as LINEX loss function, Precautionary loss function, entropy loss function for the parameter and reliability function.Comparisons of these estimators are made through simulation study.

Key concepts: Mathematics, Estimator, Rayleigh distribution, Statistics, Bayes estimator, Bayesian probability, Function (biology), Survival function

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