%0 Journal Article
%T Admissibility of lifetime performance index with respect to weighted squared-error loss function in Pareto distribution under progressive type II right censored sample
%J Journal of Advanced Mathematical Modeling
%I Shahid Chamran University of Ahvaz
%Z 2251-8088
%A sheikhalishahi, maryam
%A Zakerzadeh, Hojatollah
%D 2014
%\ 08/23/2014
%V 4
%N 1
%P 71-84
%! Admissibility of lifetime performance index with respect to weighted squared-error loss function in Pareto distribution under progressive type II right censored sample
%K Likelihood Ratio Test
%K Empirical Bayes estimators
%K Admissible estimators
%K UMVUE
%K Lifetime Performance Index
%K Progressive Censored Sample
%R
%X In this paper, under the assumption of Pareto distribution, construct a maximum likelihood estimator, UMVUE and also, assuming the Exponential prior distribution and weighted squared-error loss function, this study construct Bayes and Empirical Bayes estimator of C_L based on the progressive type II right censored sample. An admissible estimator of C_L is given for Pareto distribution with respect to the weighted squared-error loss function. The MLE and Bayes estimator of C_L is then utilize to develop a confidence and credible interval. Moreover, we also propose a likelihood Ratio Tests and a Bayesian Test to assess the lifetime performance index. Finally, we give one example to illustrate the use of testing procedure under given significance level.
%U https://jamm.scu.ac.ir/article_10901_9de6dc115d87bd25a7f68c4767690ead.pdf