This paper deals with Bayesian inference and prediction problems of the Burr type XII distribution based on progressive first failure censored data. We consider the Bayesian inference under a squared error loss function. We propose to apply Gibbs sampling procedure to draw Markov Chain Monte Carlo (MCMC) samples, and they have in turn, been used to compute the Bayes estimates with the help of i...

The Predictive Performance Equation (PPE) is a mathematical model of learning and forgetting developed to capture performance effectiveness across training histories, and to generate precise, quantitative point predictions of performance by extrapolating the unique mathematical regularities indicative of the learner. This equation is implemented in the Predictive Performance Optimizer (PPO) cog...

Exact expressions for single and product moments of generalized order statistics are derived when the underlying population is assumed to have a Rayleigh distribution. Bayesian estimators and highest posterior density (HPD) credible intervals are obtained for the scale parameter and reliability function based on generalized order statistics. We also derive the Bayes predictive estimator and HPD...

In this paper, the Bayesian prediction intervals for the future nonadjacent generalized order statistics are computed based on a past right censored sample of nonadjacent generalized order statistics from generalized exponential distribution GE(α, τ). Then, the results will be specialized to the type-II censored samples and to the upper recored values. Mathematics Subject Classification: 62F10;...

In this paper, the Bayesian prediction intervals (BPI ′s) of future generalized order statistics are obtained under a mixture of two components of generalized exponential distributions in case of one and two-sample schemes. Based on a type-II censored sample from a real data set, the BPI ′s of the remaining observations are obtained. Mathematics Subject Classification: 62F10; 62F15; 62N01; 62N02

In this paper, the well-known proportional hazards model which includes several well-known lifetime distributions such as exponential, Pareto, Lomax, Burr type XII, and so on is considered. With both Bayesian and non-Bayesian approaches , we consider the estimation of parameters of interest based on progressively Type-II right censored samples. The Bayes estimates are obtained based on symmetri...