Abstract

The multinomial selection problem is considered in its general form where the objective is to select a subset of s cells which contain the t ‘best’ cells, s ≥ t. The inverse-sampling procedure is studied for this problem and the LFC is derived under the difference zone. An expression for the relative efficiency of this procedure with respect to the widely used fixed-sample-size selection procedure is obtained and theoretical bounds are derived for this efficiency. It is found that the inverse-sampling procedure performs uniformly better than the usual fixed-sampling procedure in the case s = t and is often more efficient for s > t. When the selection goal is to select any c of the t best cells, using a subset of s cells, expressions for efficiency may be similarly obtained.

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