Bayesian Estimation for Exponentiated Gamma Distribution Under Progressive Type-II Censoring Using Different Approximation Techniques

Journal of Data Science

article

Sanjay Kumar Singh¹  Umesh Singh¹  Abhimanyu Singh Yadav¹ 

[1] Department of Statistics and DST-CIMS, Banaras Hindu University Varanasi Department of Statistics, PUC, Mizoram University

关键词: Exponentiated Gamma distribution;    Progressive Censoring;    Lindley’s approximation;    T-K approximation;    MCMC technique;   

DOI  :  10.6339/JDS.201507_13(3).0008

学科分类：土木及结构工程学

来源: JDS

【 摘 要 】

In this paper, we proposed the Bayesian estimation for the parameter and reliability function of exponentiated gamma distribution under progressive type-II censored samples. The Bayes estimate of the parameter and reliability function are derived under the assumption of independent gamma prior by three different approximation methods namely Lindley’s approximation, Tierney-Kadane and Markov Chain Monte Carlo methods. Further, the comparison of Bayes estimators with corresponding maximum likelihood estimators have been carried out through simulation study. Finally, a real data set has been used to illustrate the above study in realistic phenomenon.

【 授权许可】

CC BY