Bayesian estimation for topp-leone distribution using progressively censored data and asymmetric loss functions

Authors : İlhan USTA

Pages : 9-26

View : 28 | Download : 8

Publication Date : 2022-03-25

Article Type : Research Paper

Abstract :In this study, based on progressive type-II censored data, Bayes estimators of the unknown parameter of the Topp-Leone distribution are derived by using informative and non-informative, priors under square error insert ignore into journalissuearticles values(symmetric);, and linex, general entropy, and precautionary insert ignore into journalissuearticles values(asymmetric); loss functions. The Bayes estimators cannot be obtained in closed-forms, for this reason, Lindley’s approximation method is used to compute the approximate estimates. The asymptotic confidence and the highest posterior density credible intervals for the unknown parameter are obtained. The performances of the proposed Bayes estimators are compared with the corresponding maximum likelihood estimator for different sample sizes in terms of average estimate and mean squared error through an extensive simulation study. Finally, a real data set is provided to illustrate the results.
Keywords : Topp Leone distribution, progressive type II censored data, bayesian estimation, asymmetric loss functions, non informative prior, lndleys approximation

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