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Bayes Estimation of a Two-Parameter Geometric Distribution under Multiply Type II Censoring
Author(s) -
J. B. Shah,
M. N. Patel
Publication year - 2011
Publication title -
journal of quality and reliability engineering
Language(s) - English
Resource type - Journals
eISSN - 2314-8047
pISSN - 2314-8055
DOI - 10.1155/2011/618347
Subject(s) - estimator , hyperparameter , bayes' theorem , mathematics , statistics , algorithm , computer science , bayesian probability
We derive Bayes estimators of reliability and the parameters of a two- parameter geometric distribution under the general entropy loss, minimum expected loss and linex loss, functions for a noninformative as well as beta prior from multiply Type II censored data. We have studied the robustness of the estimators using simulation and we observed that the Bayes estimators of reliability and the parameters of a two-parameter geometric distribution under all the above loss functions appear to be robust with respect to the correct choice of the hyperparameters a(b) and a wrong choice of the prior parameters b(a) of the beta prior

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