Richard Lechner
Estimating Averages of Order Statistics of Bivariate Functions
Lechner, Richard; Passenbrunner, Markus; Prochno, Joscha
Authors
Markus Passenbrunner
Joscha Prochno
Abstract
© 2016, Springer Science+Business Media New York. We prove uniform estimates for the expected value of averages of order statistics of bivariate functions in terms of their largest values by a direct analysis. As an application, uniform estimates for the expected value of averages of order statistics of sequences of independent random variables in terms of Orlicz norms are obtained. In the case where the bivariate functions are matrices, we provide a “minimal” probability space which allows us to C-embed certain Orlicz spaces ℓMn into ℓ1cn3, with c, C> 0 being absolute constants.
Citation
Lechner, R., Passenbrunner, M., & Prochno, J. (2017). Estimating Averages of Order Statistics of Bivariate Functions. Journal of theoretical probability, 30(4), 1445-1470. https://doi.org/10.1007/s10959-016-0702-8
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 27, 2015 |
Online Publication Date | Jul 9, 2016 |
Publication Date | Dec 1, 2017 |
Deposit Date | Jun 29, 2018 |
Journal | Journal of Theoretical Probability |
Print ISSN | 0894-9840 |
Publisher | Springer Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 30 |
Issue | 4 |
Pages | 1445-1470 |
DOI | https://doi.org/10.1007/s10959-016-0702-8 |
Keywords | Order statistic; Orlicz space; Embedding |
Public URL | https://hull-repository.worktribe.com/output/900384 |
Publisher URL | https://link.springer.com/article/10.1007%2Fs10959-016-0702-8 |
Contract Date | Jun 29, 2018 |
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