Selecting the t-best cells in a multinomial distribution |
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Authors: | Subir Kumar Bhandari Arup Bose |
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Institution: | 1. Stat.-Math. Division , Indian Statistical Institute , 203 B. T. Road, Calcutta, 700035, India;2. Department of Statistics , Purdue University , West Lafayette, IN, 47907, USA |
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Abstract: | The problem of selecting the t-best cells in a multinomial distribution with t + k cells, k > 1, 2 <= t is considered under the fixed sample-size indifference zone approach. The least favourable configuration is derived for the usual procedure of selection, for large values of N (the sample size). The result settles Conjecture I (for large N) and Conjecture IV of Chen and Hwang (Commun. Statist. - Theory Meth. 13 (10), 1289-1298, 1984) in the affirmative. |
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Keywords: | least favourable configuration slippage configuration |
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