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Bayesian Estimation and Prediction from Rayleigh distribution based on Generalized Order Statistics

M. E. Moshref, S. M. El-Arishy, R. F. Khalil


In this paper, based on the generalized order statistics (gos) from Rayleigh distribution,Bayesian and non-Bayesian estimators are obtained. First, we discuss the maximum likelihood estimates. Next, we derive the Bayes estimates based on different loss functions,symmetric (squared error loss (sel)) and asymmetric (Linear-Exponential (LINEX)) loss functions. Finally, we construct Bayesian prediction intervals of the generalized order statistics.


Generalized order statistics; Symmetric and asymmetric loss function; Bayesian prediction; Order statistics; Record values.

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