- Türkiye İstatistik Derneği Dergisi
- Volume:8 Issue:1
- THE ANALYSIS OF THE TWO PARAMETER EXPONENTIAL DISTRIBUTION BASED ON PROGRESSIVE TYPE II CENSORED DAT...
THE ANALYSIS OF THE TWO PARAMETER EXPONENTIAL DISTRIBUTION BASED ON PROGRESSIVE TYPE II CENSORED DATA
Authors : R Arabi BELAGHİ, H BEVRANİ, M MOHOMMADİ
Pages : 15-23
View : 44 | Download : 11
Publication Date : 2015-03-01
Article Type : Research Paper
Abstract :In this study, the estimation of the parameters of the two parameters exponential distributionbased on progressive Type II censored data is considered. Assuming both location and scale parameters tobe unknown, the maximum likelihoodinsert ignore into journalissuearticles values(ML);, penalized maximum likelihood insert ignore into journalissuearticles values(PML); and Bayes estimators areobtained. The results indicate that the PMLE is the same as the uniformly minimum variance unbiasedestimator insert ignore into journalissuearticles values(UMVUE);. Further, the mean square errors of proposed estimators both analytical and MonteCarlo simulation study for different types of censoring schemes are computed. The results reveal that thePMLE and Bayes estimators outperform the MLE ones. This paper comes to an end by presenting anillustrative exampleKeywords : Bayes Estimators, Exponential Distribution, Maximum Likelihood Estimators, Penalized Maximum Likelihood Estimators, Progressive Type II Censored Data
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