This is an announcement for the paper "The negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball" by Marcin Pilipczuk, Jakub Onufry Wojtaszczyk.
Abstract: Random variables equidistributed on convex bodies have received quite a lot of attention in the last few years. In this paper we prove the negative association property (which generalizes the subindependence of coordinate slabs) for generalized Orlicz balls. This allows us to give a strong concentration property, along with a few moment comparison inequalities. Also, the theory of negatively associated variables is being developed in its own right, which allows us to hope more results will be available. Moreover, a simpler proof of a more general result for $\ell_p^n$ balls is given.
Archive classification: math.PR math.FA
Mathematics Subject Classification: 52A20, 60D05
Remarks: 44 pages (sorry)
The source file(s), dlaorlic.tex: 166228 bytes, is(are) stored in gzipped form as 0803.0434.gz with size 46kb. The corresponding postcript file has gzipped size 253kb.
Submitted from: onufryw@gmail.com
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http://front.math.ucdavis.edu/0803.0434
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http://arXiv.org/abs/0803.0434
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