Order Restricted Bayesian Analysis of a Simple Step Stress Model

Order restricted Bayesian inference for exponential simple step-stress model

Step-stress model has received a considerable amount of attention in recent years. In the usual step-stress experiment, stress level is allowed to increase at each step to get rapid failure of the experimental units. The expected lifetime of the experimental unit is shortened as the stress level increases. Although, extensive amount of work has been done on step-stress models, not enough attent...

Order restricted inference of a multiple step-stress model

In this manuscript both the classical and Bayesian analyses of a multiple step-stress model have been considered. The lifetime distributions of the experimental units at each stress level follow two-parameter generalized exponential distribution and they are related through the cumulative exposure model assumptions. Recently Abdel-Hamid and Al-Hussaini (Computational Statistics and Data Analysi...

Bayesian Model Comparison for the Order Restricted RC Association Model

Association models constitute an attractive alternative to the usual log-linear models for modeling the dependence between classification variables. They impose special structure on the underlying association by assigning scores on the levels of each classification variable, which can be fixed or parametric. Under the general row-column (RC) association model, both row and column scores are unk...

Bayesian Designing and Analysis of Simple Step-Stress Accelerated Life Test with Weibull Lifetime Distribution

Bayesian inferences in the Cox model for order-restricted hypotheses.

In studying the relationship between an ordered categorical predictor and an event time, it is standard practice to include dichotomous indicators of the different levels of the predictor in a Cox model. One can then use a multiple degree-of-freedom score or partial likelihood ratio test for hypothesis testing. Often, interest focuses on comparing the null hypothesis of no difference to an orde...