Bayesian Analysis of Exponential Distribution Based on Progressive Type-II Censored Competing Risks Data with Binomial Removals

By : Manoj Chacko, Rakhi Mohan

Page No: 127-156

Abstract
In reliability studies, the failure of individuals or items may be due to more than one causes or factors. These risk factors in some sense compete for the failure of the experimental units. Analysis of data in these circumstances is called competing risks analysis. In this paper, we consider the analysis of competing risk data under progressive type-II censoring by assuming the number of units removed at each stage is being random and follows a binomial distribution. Bayes estimators are obtained by assuming the population under consideration follows an exponential distribution. A simulation study is carried out to study the performance of different estimators derived in this paper. A real data set is also used for illustration.

Authors :
Manoj Chacko
Department of Statistics, University of Kerala Trivandrum 695 581, India.

Rakhi Mohan
Department of Statistics, University of Kerala Trivandrum 695 581, India.

DOI: DOI-https://doi.org/10.32381/IAPQRT.2020.44.02.2