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Small ball estimates for quasi norms

Friedland, Omer and Giladi, Ohad and Guédon, Olivier Small ball estimates for quasi norms. Small ball estimates for quasi norms . (Submitted)

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    Abstract

    This note contains two types of small ball estimates for random vectors in finite dimensional spaces equipped with a quasi-norm. In the first part, we obtain bounds for the small ball probability of random vectors under some smoothness assumptions on their density function. In the second part, we obtain Littlewood-Offord type estimates for quasi-norms. This generalizes a result which was previously obtained by Friedland and Sodin and by Rudelson and Vershynin.

    Item Type: Article
    Subjects: 60-xx Probability theory and stochastic processes
    Faculty: UNSPECIFIED
    Depositing User: Ohad Giladi
    Date Deposited: 16 Nov 2014 22:00
    Last Modified: 16 Nov 2014 22:00
    URI: https://docserver.carma.newcastle.edu.au/id/eprint/1491

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