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2015 Uniform estimates for averages of order statistics of matrices
Richard Lechner, Markus Passenbrunner, Joscha Prochno
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Electron. Commun. Probab. 20: 1-12 (2015). DOI: 10.1214/ECP.v20-3992

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 $\ell_p$ norms via real interpolation.

Citation

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Richard Lechner. Markus Passenbrunner. Joscha Prochno. "Uniform estimates for averages of order statistics of matrices." Electron. Commun. Probab. 20 1 - 12, 2015. https://doi.org/10.1214/ECP.v20-3992

Information

Accepted: 19 March 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1318.62153
MathSciNet: MR3327866
Digital Object Identifier: 10.1214/ECP.v20-3992

Subjects:
Primary: 60E15
Secondary: 05A20

Keywords: combinatorial inequality , order statistic , probabilistic inequality , real interpolation

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