Lower Confidence Bounds for the Probabilities of Correct Selection

We extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting the t best populations (PCSt) simultaneously for all t=1,…,k−1 for the general scale parameter models, where k is the number of populations i...

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Bibliographic Details
Main Authors: Radhey S. Singh, Narinder Kumar
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2011/765058
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Summary:We extend the results of Gupta and Liang (1998), derived for location parameters, to obtain lower confidence bounds for the probability of correctly selecting the t best populations (PCSt) simultaneously for all t=1,…,k−1 for the general scale parameter models, where k is 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 for PCSt is illustrated through real-life datasets.
ISSN:1687-952X
1687-9538