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Sequential Analysis
Design Methods and Applications
Volume 40, 2021 - Issue 4
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Articles

A key inequality for lower bound formulas for lattice event probabilities

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Pages 554-574 | Received 15 Jun 2021, Accepted 04 Nov 2021, Published online: 04 Jan 2022
 

Abstract

We introduce and discuss some key inequalities that underlie the lower bound formula for the probability of lattice events in the Levin-Robbins-Leu family of sequential subset selection procedures for binary outcomes. The present work combines the notion of lattice events—as previously discussed for the nonadaptive member of the family—with the positive cumulative sum property for the adaptive members—as previously discussed for the special lattice event of correct selection, thereby extending the key inequality to its broadest scope.

SUBJECT CLASSIFICATIONS:

ACKNOWLEDGEMENT

We thank the Editor for his tireless efforts on our behalf.

DISCLOSURE

The authors have no conflicts of interest to report.

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