Estimation of Reliability for a Two Parameter Inverse Chen Distribution

Abstract

The problem of estimation of reliability, when  and  are two independent random variables follow inverse Chen distribution, is considered in the paper. Maximum likelihood estimators of under simple random sampling and ranked set sampling are obtained. Also, Bayesian estimation using Lindley's approximation technique is proposed to draw inference about . Reliability estimators are compared using mean squared error criteria and real data analysis is carried out for illustration purpose.

Keywords: Inverse Chen distribution, stress-strength reliability, ranked set sampling, simple random sampling, maximum likelihood estimator, Bayes estimator

Cite this Article

Parameshwar V. Pandit, Shubhashree Joshi. Estimation of Reliability for a Two Parameter Inverse Chen Distribution. Research & Reviews: Journal of Statistics. 2019; 8(1): 17–25p.