Two sample Bayesian prediction intervals for order statistics based on the inverse exponential-type distributions using right censored sample

Abstract

In this paper, two sample Bayesian prediction intervals for order statistics (OS) are obtained. This prediction is based on a certain class of the inverse exponential-type distributions using a right censored sample. A general class of prior density functions is used and the predictive cumulative function is obtained in the two samples case. The class of the inverse exponential-type distributions includes several important distributions such the inverse Weibull distribution, the inverse Burr distribution, the loglogistic distribution, the inverse Pareto distribution and the inverse paralogistic distribution. Special cases of the inverse Weibull model such as the inverse exponential model and the inverse Rayleigh model are considered.

Keywords

• Order statistics
• Bayesian prediction intervals
• Two sample scheme
• Right censored sample
• The inverse Weibull model
• The inverse exponential model
• The inverse Rayleigh model