Richard Lechner, Markus Passenbrunner, Joscha Prochno,
"Estimating averages of order statistics of bivariate functions"
, in Journal of Theoretical Probability, Vol. 30, Nummer 4, Seite(n) 1445?1470, 2017, ISSN: 1572-9230
Original Titel:
Estimating averages of order statistics of bivariate functions
Sprache des Titels:
Englisch
Original Kurzfassung:
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 ?^n_M into ?^{cn^3}_1 with c,C>0 being absolute constants.