Open AccessBayesian Estimation for the Two Log-Logistic Models Under Joint Type II Censoring Schemes
Author(s) -
Ranjita Pandey,
Preeti Wanti Srivastava
Publication year - 2022
Publication title -
journal of reliability and statistical studies
Language(s) - English
Resource type - Journals
eISSN - 2229-5666
pISSN - 0974-8024
DOI - 10.13052/jrss0974-8024.15110
Subject(s) - censoring (clinical trials) , markov chain monte carlo , estimator , bayes' theorem , statistics , mathematics , bayesian probability , bayes estimator
The present paper, discusses classical and Bayesian estimation of unknown combined parameters of two different log-logistic models with common shape parameters and different scale parameters under a new type of censoring scheme known as joint type II censoring scheme. Maximum likelihood estimators are derived. Bayes estimates of parameters are proposed under different loss functions. Classical asymptotic confidence intervals along with the Bayesian credible intervals and Highest Posterior Density region are also constructed. Markov Chain Monte Carlo approximation method is used for simulating the theoretic results. Comparative assessment of the classical and the Bayes results are illustrated through a real archived dataset.