Lechner, Richard; Passenbrunner, Markus; Prochno, Joscha Uniform estimates for averages of order statistics of matrices. (English) Zbl 1318.62153 Electron. Commun. Probab. 20, Paper No. 27, 12 p. (2015). Summary: 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. Cited in 4 Documents MSC: 62G30 Order statistics; empirical distribution functions 60E15 Inequalities; stochastic orderings 05A20 Combinatorial inequalities Keywords:order statistic; probabilistic inequality; combinatorial inequality; real interpolation PDF BibTeX XML Cite \textit{R. Lechner} et al., Electron. Commun. Probab. 20, Paper No. 27, 12 p. (2015; Zbl 1318.62153) Full Text: DOI arXiv OpenURL