On lower confidence bounds for pcs in truncated location parameter models

Shanti S. Gupta, Leu Lii - Yuh, TaChen Liang · Communication in Statistics- Theory and Methods · 1990

We are concerned with deriving lower confidence bounds for the probability of a correct selection in truncated location-parameter models. Two cases are considered according to whether the scale parameter is known or unknown. For each case, a lower confidence bound for the difference between the best and the second best is obtained. These lower confidence bounds are used to construct lower confidence bounds for the probability of a correct selection. The results are then applied to the problem of seleting the best exponential populationhaving the largest truncated location-parameter. Useful tables are provided for implementing the proposed methods.

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