Positivity of cumulative sums for multi-index function components explains the lower bound formula in the Levin-Robbins-Leu family of sequential subset selection procedures

DOI10.1080/07474946.2020.1826792zbMath1461.62135arXiv2009.02578OpenAlexW3126061109MaRDI QIDQ4965662

Cheng-Shiun Leu, Bruce R. Levin

Publication date: 9 March 2021

Published in: Sequential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02578

zbMATH Keywords

subset selectionsequential selectionprobability of correct selectionlower-bound formulaselimination and recruitment proceduresadaptive subset selectionmultiple-index CUSUMsstandardized Muirhead ratios

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Robustness and adaptive procedures (parametric inference) (62F35) Sequential statistical analysis (62L10) Statistical ranking and selection procedures (62F07)

Related Items (2)

Proof of a Key Inequality for Lattice Event Probabilities with Equal Odds ⋮ A key inequality for lower bound formulas for lattice event probabilities

Cites Work

• 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
• Inequalities: theory of majorization and its applications

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