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A note on a curtailed sequential procedure for subset selection of multinomial cells. (English) Zbl 0774.62084
Summary: This paper deals with a curtailed sequential procedure for selecting a random size subset that contains the multinomial cell which has the largest cell probability. The proposed procedure \(R\) always selects the same subset as does the corresponding fixed-sample-size procedure, and thus achieves the same probability of correct selection. However, procedure \(R\) is sequential and accomplishes this with a smaller expected number of vector-observations than required by the fixed-sample size procedure. Exact formulas for the savings are given as well as numerical calculations based on these formulas.

MSC:
62L10 Sequential statistical analysis
62F07 Statistical ranking and selection procedures
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