Abstract: This paper proposes a finite mixture model of heterogeneous population. Bayesian estimates of type I/II censored test with one/two-sample are made for the model;examples of type I censored two-sample prediction are given;questions for further investigated are proposed.

Key words: prior/posterior density function, type I/II censored, one/two-sample prediction, interval estimate, lifetime distribution, heterogeneous population, prior/posterior density function, type I/II censored, one/two-sample prediction, interval estimate, lifetime distribution