Estimation and Testing Procedures for the Reliability Functions of the Moore and Bilikam Family of Lifetime Distributions under Progressive type II right censoring

By : Narender Kumar, Ajit Chaturvedi

Page No: 51-80

Abstract
In this article the Moore and Bilikam family of lifetime distributions is considered which covers many lifetime distributions as specific cases. Two measures of reliability R(t) = P(X>t) and P=P(X >X*) are considered. Point estimation and testing procedures are developed for R t( ) and P under progressive type II right censoring. Three types of point estimators namely, uniformly minimum variance unbiased, maximum likelihood and invariantly optimal estimators are considered. Asymptotic confidence intervals are developed for the parameters ? and ?. Testing procedures are also developed for the hypotheses related to different parametric functions. A comparative study of different methods of estimation is done through Monte Carlo simulation study.

Authors :
Ajit Chaturvedi & Narender Kumar : Department of Statistics, University of Delhi, Delhi-110007, India