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Details for article 3 of 11 found articles
| Title: |
Conditions under which F. {N } = for tong's adaptive solution to ranking and selection problems |
| Author: |
McCulloch, Charles E. |
| Appeared in: |
Communications in statistics |
| Paging: | Volume 11 (1982) nr. 7 pages 815-819 |
| Year: |
1982 |
| Contents: |
Tong '1978' proposed an adaptive approach as an alternative to the classical indifference-zone formulation of the problems of ranking and selection. With a fixed pre-selected y*'1/k < y* < 1' his procedure calls for the termination of vector-at-a-time sampling when the estimated probability of a correct selection exceeds Y* for the first time. The purpose of this note is to show that for the case of two normal populations with common known variance, the expected number of vector-observations required by Tong's procedure to terminate sampling approaches infinity as the two population means approach equality for Y* ≥ 0.8413.It is conjectured that this phenomenon also persists if the two largest of K ≥3 population means approach equality. Since in the typical ranking and selection setting it usually is assumed that the experimenter has no knowledge concerning the differences between the population means, the experimenter who uses Tong's procedure clearly does so at his own risk. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 3 of 11 found articles
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