A Bayes test of homogeneity of several means for one parameter exponentialpopulations

The problem of testing the homogeneity of k (k greater than or equal to 2) mean time between failures (MTBF) vs, multiple t-slippage alternatives (1 l ess than or equal to t < k) has been considered for the one parameter expon ential distribution. The exact null distribution of a Bayes test has been d erived for selected values of k and t. Several approximations for computing the percentage points of the test statistic are also investigated. Simulat ed examples are included to illustrate the test. (C) 1999 Published by Else vier Science Inc. All rights reserved.