Bayesian Reliability Estimation for Coupon Distribution Using Type II Censored Constant-Stress Accelerated Life Tests: Methods and Applications
Keywords:
Coupon distribution, constant stress life testing, tampered random variable model, Bayesian analysis, sensitivity analysis, Metropolis-Hastings algorithm, bootstrap credible intervalAbstract
In this paper, Bayesian approach is used to analyse the parametric inference based on tampered random variable for constant-stress life tests under type-II censored data. The lifetime distribution of experimental units follows the two parameter Coupon distribution with η and ϕ as scale and shape parameters respectively. The Markov Chain Monte Carlo approach with Squared error loss, Generalized entropy loss function, and Linear exponential loss function are used to derive Bayes estimators. An important consideration in Bayesian estimating problems is the selection of the loss function. As a result, the Bayesian estimators for the parameters are derived using various loss functions and a comparison with the standard maximum likelihood approach is carried out. Finally, a real data set is analyzed to demonstrate the proposed estimation procedure.
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