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Lower Confidence Bounds for the Probabilities of Correct Selection

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  • Radhey S. Singh
  • Narinder Kumar

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 the 𠑡 best populations ( P C S 𠑡 ) simultaneously for all 𠑡 = 1 , … , 𠑘 − 1 for the general scale parameter models, where 𠑘 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 P C S 𠑡 is illustrated through real-life datasets.

Suggested Citation

  • Radhey S. Singh & Narinder Kumar, 2011. "Lower Confidence Bounds for the Probabilities of Correct Selection," Journal of Probability and Statistics, Hindawi, vol. 2011, pages 1-11, February.
    • Handle: RePEc:hin:jnljps:765058
    DOI: 10.1155/2011/765058
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