Tag Archives: Non-informative prior

Bayesian Estimation of the Parameters of the Exponentiated Weibull Distribution with Progressively Type I Inteval Censored Sample (Published)

In this paper, Bayes, investigation the unknown shape Parameters, of the exponentiated Weibull life time model (EWD) are derived from progressive type I interval censored samples using different loss functions and independent and dependent conjugate priors. Besides, the maximum likelihood estimators have also been attempted. Approximate Credible and Shortest Credible intervals for the parameters of an EWD are obtained.  A numerical illustration for these new results is also given.

Keywords: Bayes Estimator, Exponentiated Weibull distribution, Informative Prior, Maximum Likelihood Estimator, Non-informative prior

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

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.