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Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data.
American Journal of Theoretical and Applied Statistics
Volume 1, Issue 1, December 2012, Pages: 12-15
Received: Dec. 24, 2012; Published: Dec. 30, 2012
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Authors
Omid Shojaee, Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran
Reza Azimi, Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran
Manoochehr Babanezhad, Department of Statistics, Faculty of sciences, Golestan University, Gorgan, Golestan,Iran
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Abstract
Based on the record samples, the empirical Bayes estimators of parameter and reliability function for Compound Rayleigh distribution is investigated under the symmetric and asymmetric loss function. In this case the symmetric loss function is squared error and for the asymmetric loss functions, we consider LINEX and general Entropy loss function.
Keywords
Empirical Bayes Estimate, Compound Rayleigh Distribution, Record Data
To cite this article
Omid Shojaee, Reza Azimi, Manoochehr Babanezhad, Empirical Bayes Estimators of Parameter and Reliability Function for Compound Rayleigh Distribution under Record Data., American Journal of Theoretical and Applied Statistics. Vol. 1, No. 1, 2012, pp. 12-15. doi: 10.11648/j.ajtas.20120101.12
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M. Han, E-Bayesian estimation of failure probability and its application, Mathematical and Computer Modelling, 45, (2007),1272-1279.
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