BAYESIAN-ANALYSIS OF RELIABILITY AND HAZARD RATE-FUNCTION OF A MIXTURE MODEL

The present article deals with the Bayesian analysis for a modified (g eneral) Mukherji-Islam model [A finite range distribution of failure t imes, Naval Research Logistics Quarterly, 1983, 30, 487-491] on the ba sis of failure time data x(1), x(2),..., x(r) for a prefixed number of failures. Under the use of different prior densities for the paramete r and the squared error loss function (SELF), the Bayesian estimates o f hazard rate and the reliability functions are obtained, considering uniform, Gamma and inverted gamma densities as prior failure densities . (C) 1997 Elsevier Science Ltd.