Truncation of the Bechhofer–Kiefer–Sobel Sequential Procedure for Selecting the Normal Population which has the Largest Mean (III): Supplementary Truncation Numbers and Resulting Performance Characteristics

Abstract

In this paper we provide a supplementary set of truncation numbers (n₀) for δ^*–values not studied in Bechhofer and Goldsman (1987). These are necessary to implement the truncated sequential selection procedure

. Performance characteristics are given for

used with the new n₀–values.

A by–product of this study was the discovery of a remarkable and completely unexpected pattern among the estimated n₀–values. The practical implications of this finding are indicated.

Keywords:

• normal means selection problem
• selection procedures
• ranking procedures
• sequential procedures
• closed procedures
• truncation numbers
• expected number of stages to termination