SOME RESULTS ON STRESS-STRENGTH MODEL IN GENERAL FORM OF DISCRETE LIFETIME DISTRIBUTION

Abstract

This paper deals with inference for stress-strength in- terference(SSI), R = P(X < Y ), where the distributions of X and Y follow discrete proportional hazard rate (PHR) models. In spe- cial case of Geometric PHR, maximum likelihood estimator (MLE) of R and it variances are obtained. Also approximation problem of the estimator's variance of R are discussed via Bhattacharyya lower bounds for Poisson SSI model.