Uniform estimates for averages of order statistics of matrices

Lechner, Richard; Passenbrunner, Markus; Prochno, Joscha

Abstract

We prove uniform estimates for the expected value of averages of order statistics of matrices interms of their largest entries. As an application, we obtain similar probabilistic estimates for ℓp norms via real interpolation.

Citation

Lechner, R., Passenbrunner, M., & Prochno, J. (2015). Uniform estimates for averages of order statistics of matrices. Electronic Communications in Probability, 20, 1-12. https://doi.org/10.1214/ECP.v20-3992

• Journal Article Type: Article
• Acceptance Date: Mar 17, 2015
• Online Publication Date: Jun 7, 2016
• Publication Date: Jan 1, 2015
• Deposit Date: Jun 29, 2018
• Publicly Available Date: Jul 19, 2018
• Electronic ISSN: 1083-589X
• Publisher: Institute of Mathematical Statistics (IMS)
• Peer Reviewed: Peer Reviewed
• Volume: 20
• Article Number: 27
• Pages: 1-12
• DOI: https://doi.org/10.1214/ECP.v20-3992
• Keywords: Order statistic; Probabilistic inequality; Combinatorial inequality; Real interpolation
• Public URL: https://hull-repository.worktribe.com/output/900993
• Publisher URL: https://projecteuclid.org/euclid.ecp/1465320954