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..