title: On an Inequality That Implies the Lower Bound Formula for the Probability of Correct Selection in the Levin-Robbins-Leu Family of Sequential Binomial Subset Selection Procedures.
abstract: We study a key inequality that implies the lower bound formula for the probability of correct selection and other selection-related events of interest in the Levin-Robbins-Leu family of sequential binomial subset selection procedures. We present a strategy for the proof of the key inequality, and a mostly-complete general proof is given. The strategy provides an entirely complete and rigorous proof of the inequality for as many as seven competing populations using computer-assisted symbolic manipulation.
authors.affiliation: Department of Biostatistics, Columbia University, New York, New York, USA.
authors.forename: Bruce
authors.initials: B
authors.lastname: Levin
authors.forename: Cheng-Shiun
authors.initials: CS
authors.lastname: Leu
keywords: Adaptive subset selection; Elimination and recruitment procedures; Lower-bound formulas; Probability of correct selection; Sequential selection; Standardized Muirhead ratios; Subset selection