Play-the-Winner sampling for a fixed sample size with curtailment

Pradhan, Meena; Sathe, Y. S.

doi:10.1093/biomet/60.2.424

Cited by 5 publications

(2 citation statements)

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“…Berry and Sobel (1973) considered the PW sampling procedure with a termination rule based on max S A S B = c or F A = F B = r, whichever comes first. A further contribution in this context is due to Pradhan and Sathe (1973), who considered the Nebenzahl-Sobel PW sampling procedure with curtailment. In a subsequent work, Pradhan and Sathe (1974) proved the equivalence between the Nobenzahl-Sobel procedure and the Hoel procedure.…”

Section: Other Modificationsmentioning

confidence: 99%

Contribution of Milton Sobel in Selection Problem Following Ethical Allocation

Biswas

2006

Sequential Analysis

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In his research career of nearly six decades, Milton Sobel has made substantial contributions in several areas of statistics and mathematics. In this present discussion, I focus on the contribution of Sobel to a specific aspect of the selection problem, namely, selection following a sequential adaptive allocation. Follow-up works by Sobel himself and other researchers are also discussed in detail. The scope for further research in this area is indicated. This is only a small part of the vast contribution of Milton Sobel.

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Section: Other Modificationsmentioning

confidence: 99%

Contribution of Milton Sobel in Selection Problem Following Ethical Allocation

Biswas

2006

Sequential Analysis

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“…This problem is better known in the literature as a Two Arm Bandit Problem and arises in many areas of practical importance Bechhufer (1985) Nebenzahl and Sobel (1972), Pradhan and Sathe (1973), Robbins (1952), Sobel and Weiss (1970), Sobel and Weiss (1977), Sobel and Huyett (1956). For example, it arises in selecting one of two competing treatments for a given disease.…”

Section: Introductionmentioning

confidence: 99%