On the least favorable configuration in mult1hgmial selection problems
Pinyuen Chen · Communication in Statistics- Theory and Methods · 1986
The problems of i) selecting a subset of size s(⩾t)which contains the t. best cells and ii) selecting a subset of size s(_?t) which consists of any s of the t best cells of a multinomial stributions are considered under the fixed sample-size-indifference zone approach, Methods of strict differentiation with respect to the cell probabilities are used to study the monotonicity properties of the probability of correct selection and to solve the Chen and Hwang's conjecture on the least favorable configuration for the special case that s ≊ t