Lower Confidence Bounds for the Probabilities of Correct Selection

Abstract

We extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting thetbest populations(PCSt)simultaneously for allt=1,…,k−1for the general scale parameter models, wherekis the number of populations involved in the selection problem. The application of the results to the exponential and normal probability models is discussed. The implementation of the simultaneous lower confidence bounds forPCStis illustrated through real-life datasets.