Sankhya: The Indian Journal of Statistics

1999, Volume 61, Series A, Pt. 1 ,pp. 139--147

SELECTING THE t BEST CELLS OF A MULTINOMIAL DISTRIBUTION

By

MAUSUMI BOSE and SUBIR KUMAR BHANDARI Indian Statistical Institute, Calcutta

SUMMARY. The problem of selecting a subset of s (>= t) cells which contains the t best cells of a multinomial distribution is considered for the fixed-sample-size selection procedure for arbitrary s and t,
s > = t. The least favourable configuration over the difference zone is obtained for large sample sizes. This settles two interesting conjectures about the least favourable configuration by Chen and Hwang ( Commun. Statist. - Theor. Meth. 13(10), 1289-98, 1984) in the affirmative.

AMS (1991) subject classification.62F07.

Key words and phrases. Least favourable configuration, probability of correct selection, difference zone..

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