Open AccessBayesian estimation of the parameters of the bivariate generalized exponential distribution using accelerated life testing under censoring data
Author(s) -
M. P Abd El-Maseh
Publication year - 2015
Publication title -
international journal of advanced statistics and probability
Language(s) - English
Resource type - Journals
ISSN - 2307-9045
DOI - 10.14419/ijasp.v3i2.5242
Subject(s) - censoring (clinical trials) , markov chain monte carlo , gibbs sampling , mathematics , bivariate analysis , accelerated life testing , statistics , exponential distribution , exponential function , bayesian probability , bayes estimator , weibull distribution , mathematical analysis
In this paper, the Bayesian estimation for the unknown parameters for the bivariate generalized exponential (BVGE) distribution under Bivariate censoring type-I samples with constant stress accelerated life testing (CSALT) are discussed. The scale parameter of the lifetime distribution at constant stress levels is assumed to be an inverse power law function of the stress level. The parameters are estimated by Bayesian approach using Markov Chain Monte Carlo (MCMC) method based on Gibbs sampling. Then, the numerical studies are introduced to illustrate the approach study using samples which have been generated from the BVGE distribution.