PARAMETERS ESTIMATION FOR THE RAYLEIGH DISTRIBUTION BASED ON A SIMPLE STEP-STRESSES MODEL WITH TYPE-II HYBRID CENSORED DATA

In this paper, we consider a simple step-Stress model under the Rayleigh distribution when the available data are type-II hybrid censored. The maximum likelihood and Bayes estimators as well as, approximate confidence intervals for the parameters are constructed. Bayes estimators are obtained using the symmetric squared error loss functions and asymmetric LINEX and General Entropy (GE) loss functions using non informative priors, a numerical illustration for these new results are also given.MSC: Primary 62N05; 62N01: secondary 62F40; 62F30.

Keywords: Accelerated life testing, Monte-Carlo Simulation, Non-informative prior, Rayleigh distribution, Symmetric and Asymmetries loss function, cumulative exposure model, hybrid censored samples, maximum likelihood estimation(MLE), step stress model, type.