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5 works

Work: Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities

  1. Analogues of Khintchine, Marcinkiewicz–Zygmund and Rosenthal Inequalities for Symmetric Statistics

    Rustam Ibragimov, Sh. Sharakhmetov

    ArticleRandom Matrices and ApplicationsScandinavian Journal of Statistics19994 citations
    ABI

  2. On extremal distributions and sharp $\bolds{L_p}$-bounds\\ for sums of multilinear forms

    Rustam Ibragimov, Шатургун Шарахметов, Víctor Peña

    ArticleMathematical Approximation and IntegrationThe Annals of Probability20033 citations
    ABI

  3. Exact Estimates for Moments of Random Bilinear Forms

    Rustam Ibragimov, Sh. Sharakhmetov, A Aydin Cecen

    ArticleRandom Matrices and ApplicationsJournal of Theoretical Probability20013 citations
    ABI

  4. The best constant in the Rosenthal inequality for nonnegative random variables

    Rustam Ibragimov, Sh. Sharakhmetov

    ArticleProbability and Risk ModelsStatistics & Probability Letters20011 citations
    ABI

  5. Optimal constants in the Rosenthal inequality for random variables with zero odd moments

    Marat Ibragimov, Rustam Ibragimov

    ArticleProbability and Risk ModelsStatistics & Probability Letters20070 citations
    ABI