BAYES ESTIMATION OF THE LINEAR HAZARD-RATE MODEL

In life testing, the failure-time distributions are often specified by choosing an appropriate hazard-rate function. The class of life-time distributions characterized by a linear hazard-rate includes the 1-par ameter exponential and Rayleigh distributions. Usually the parameters of the linear hazard-rate model are estimated by the method of least s quares. This paper is concerned with Bayes estimation of the 2-paramet ers from a type-2 censored sample. Monte Carlo simulation is used to c ompare the Bayes risk of the regression estimator with the minimum Bay es risk. Discrete mixtures of decreasing failure rate distributions ar e known to have decreasing failure rate. We prove that the result hold s for continuous mixtures as well.