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Sequential Analysis
Design Methods and Applications
Volume 39, 2020 - Issue 4
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Research Article

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

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Pages 520-542 | Received 03 Mar 2020, Accepted 05 Aug 2020, Published online: 27 Jan 2021

REFERENCES

  • Levin, B., and C.-S. Leu. 2013a. “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.” Sequential Analysis 32 (4):404–27. doi:10.1080/07474946.2013.843321
  • Levin, B., and C.-S. Leu. 2013b. On Two Lemmas Used to Establish a Key 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, Technical Report #B-148, Department of Biostatistics, Columbia University, Accessed March 18, 2013. http://www.columbia.edu/∼bl6/appendices/.
  • Levin, B., and C.-S. Leu. 2020. On Bounds for Single-Index Components of a Function that Implies the Lower Bound Formula in the Levin-Robbins-Leu Family of Sequential Subset Selection Procedures, Technical Report #B-168, Department of Biostatistics, Columbia University, Accessed June 04, 2020. http://www.columbia.edu/∼bl6/appendices/.
  • Marshall, A. W., I. Olkin, and B. C. Arnold. 2011. Inequalities: Theory of Majorization and Its Applications, 2nd ed, New York: Springer.
  • Muirhead, R. F. 1902. “Some Methods Applicable to Identities and Inequalities of Symmetric Algebraic Functions of n Letters.” Proceedings of the Edinburgh Mathematical Society 21:144–57. doi:10.1017/S001309150003460X

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