The Bayes procedure in exponential reliability family models using conjugate convex tent prior family

A Bayes procedure for estimating the unknown parameter indexed to some of o ne parameter exponential family distributions is presented. in such a proce dure, we shall use a new conjugate prior family that we shall call a conjug ate convex tent family. A member of this family could be constructed by ass uming a little information about the unknown parameter. Some of the needed parameters for constructing prior density function are the values r, p and q. Bayes estimators for using a priori symmetrical convex tent density can be obtained as special cases of the present work. Numerical simulation stud y is introduced by using the Monte Carlo method. In this study we have inve stigated the influence of the prior parameters r, p and q on the accuracy o f the Bayes estimators. (C) 2001 Elsevier Science Ltd. All rights reserved.