Bayesian inference for the Pareto lifetime model under progressive censoring with binomial removals

Abstract

This paper considers the estimation and prediction problems when lifetimes are Pareto-distributed and are collected under Type II progressive censoring with random removals, where the number of units removed at each failure time follows a Binomial distribution. The analysis is carried out within the Bayesian context.

Keywords:

• Bayesian estimation
• Bayesian prediction
• Gibbs sampling
• missing data
• natural conjugate prior
• non-informative prior
• Pareto distribution
• progressive censoring
• Type II censoring
• total test time remaining