- A Generalization of the Levin-Robbins Procedure for Binomial Subset Selection and Recruitment Problems
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- Article comments:
- This paper has been accepted for publication in Statistica Sinica.
- Abstract:
We introduce a family of sequential selection and recruitment procedures for the subset identification problem in binomial populations. We demonstrate the general validity of a simple formula providing a lower bound for the probability of correct identification in a version of the family without sequential elimination or recruitment. A new application of the noncentral hypergeometric distribution is revealed. A similar theorem is conjectured to hold for the more efficient version which employs sequential elimination or recruitment.
Keywords: lower bound formula, probability of correct selection, recruitment, selection, sequential identification.
- Subject Area:
- Statistical Theory and Methods
- Suggested Citation:
Cheng-Shiun Leu and Bruce Levin, "A Generalization of the Levin-Robbins Procedure for Binomial Subset Selection and Recruitment Problems" (April 2006). Columbia University Biostatistics Technical Report Series. Working Paper 2.
http://biostats.bepress.com/columbiabiostat/papers/art2