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arxiv: 0809.2989 · v1 · submitted 2008-09-17 · 🧮 math.PR · math.ST· stat.TH

Uniform estimates for order statistics and Orlicz functions

Yehoram Gordon , Alexander Litvak , Carsten Sch\"utt , Elisabeth Werner This is my paper
classification 🧮 math.PR math.STstat.TH
keywords distributionestimatesorderorliczrandomstatisticsuniformvariables
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We establish uniform estimates for order statistics of sequences of independent identically distributed random variables with log-concave distribution in terms of Orlicz norms associated with the distribution function of the random variables.

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