- Tech Report #B-91---Selecting the Best Subset of b Out of c Coins with the Levin-Robbins Sequential Elimination Procedure: Proof of the Lower Bound Formula for the Probability of Correct Selection in the Case b=2 and c=4.
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- Article comments:
- This technical report is cited in Leu and Levin (2006), "A Generalization of the Levin-Robbins Procedure for Binomial Subset Selection and Recruitment Problems" to appear in Statistica Sinica.
- Abstract:
- The purpose of this report is to prove the validity of the lower bound formula for a sequential identification procedure with elimination of inferior coins in the special case of selecting the best b = 2 out of c = 4 coins for any r greater than or equal to 1. This is the first non-trivial case of a general conjecture not already proven in previous work and suggests a rigorous proof of the general conjecture may yet be possible.
- Subject Area:
- Statistical Theory and Methods
- Suggested Citation:
Cheng-Shiun Leu and Bruce Levin, "Tech Report #B-91---Selecting the Best Subset of b Out of c Coins with the Levin-Robbins Sequential Elimination Procedure: Proof of the Lower Bound Formula for the Probability of Correct Selection in the Case b=2 and c=4." (July 2004). Columbia University Biostatistics Technical Report Series. Working Paper 3.
http://biostats.bepress.com/columbiabiostat/papers/art3