Proof of a Key Inequality for Lattice Event Probabilities with Equal Odds

DOI10.1080/07474946.2022.2129689OpenAlexW4310055951MaRDI QIDQ5058155

Cheng-Shiun Leu, Bruce R. Levin

Publication date: 19 December 2022

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

Full work available at URL: https://doi.org/10.1080/07474946.2022.2129689

zbMATH Keywords

subset selectionsequential selectionprobability of correct selectionlower-bound formulaselimination and recruitment procedureslattice eventsadaptive subset selectionpositive cusum property

Mathematics Subject Classification ID

Robustness and adaptive procedures (parametric inference) (62F35) Bounds on effective properties in solid mechanics (74Q20) Sequential statistical analysis (62L10) Statistical ranking and selection procedures (62F07)

Cites Work

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• On lattice event probabilities for Levin-Robbins-Leu subset selection procedures
• 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
• On a Conjecture of Bechhofer, Kiefer, and Sobel for the Levin–Robbins–Leu Binomial Subset Selection Procedures
• 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
• A key inequality for lower bound formulas for lattice event probabilities
• Inequalities: theory of majorization and its applications