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Works cited by this work

47 works

Work: Exact Estimates for Moments of Random Bilinear Forms

  1. On the subspaces ofL p (p>2) spanned by sequences of independent random variables

    Haskell P. Rosenthal

    Article197010 citations
    ABI

  2. Best Constants in Moment Inequalities for Linear Combinations of Independent and Exchangeable Random Variables

    William B. Johnson

    Article19855 citations
    ABI

  3. Short Communications: On an Exact Constant for the Rosenthal Inequality

    Rustam Ibragimov, Sh. Sharakhmetov

    Article19985 citations
    ABI

  4. Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities

    T. Figiel, Paweł Hitczenko, W. Johnson +2

    Article19975 citations
    ABI

  5. Best Constants in Martingale Version of Rosenthal's Inequality

    Paweł Hitczenko

    Article19905 citations
    ABI

  6. Order of magnitude bounds for expectations of $\Delta_2$-functions of nonnegative random bilinear forms and generalized $U$-statistics

    Michael J. Klass, Krzysztof Nowicki

    Article19975 citations
    ABI

  7. Decoupling and Khintchine's Inequalities for $U$-Statistics

    Víctor Peña

    Article19925 citations
    ABI

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

    Rustam Ibragimov, Sh. Sharakhmetov

    ArticleRandom Matrices and ApplicationsScandinavian Journal of Statistics19994 citations
    ABI

  9. Some Inequalities for the Distributions of Sums of Independent Random Variables

    V. V. Petrov

    Chapter19754 citations
    ABI

  10. Optimum Bounds for the Distributions of Martingales in Banach Spaces

    Iosif Pinelis

    Article19944 citations
    ABI

  11. Estimates of the Moments of Sums of Independent Random Variables

    Iosif Pinelis, Sergey Utev

    Article19854 citations
    ABI

  12. Some Inequalities for the Distribution of Sums of Independent Random Variables

    S. V. Nagaev, Iosif Pinelis

    Article19784 citations
    ABI

  13. Estimates of moments of infinite-dimensional martingales

    Iosif Pinelis

    Article19804 citations
    ABI

  14. Approximation Theorems of Mathematical Statistics

    Robert Serfling

    Book19804 citations
    ABI

  15. Random Multilinear Forms

    W. Krakowiak, Jerzy Szulga

    Article19864 citations
    ABI

  16. Decoupling Inequalities for Multilinear Forms in Independent Symmetric Random Variables

    Terry R. McConnell, Murad S. Taqqu

    Article19864 citations
    ABI

  17. Order-of-Magnitude Bounds for Expectations Involving Quadratic Forms

    Víctor Peña, Michael J. Klass

    Article19944 citations
    ABI

  18. Exponential and Moment Inequalities for U-Statistics

    Evarist Giné, Rafał Latała, Joel Zinn

    Chapter20004 citations
    ABI

  19. On a Domination of Sums of Random Variables by Sums of Conditionally Independent Ones

    Paweł Hitczenko

    Article19944 citations
    ABI

  20. Martingale Approximation

    Yu. V. Borovskikh, V. S. Korolyuk

    Book19973 citations
    ABI

  21. Some Refinements of Probabilistic andMoment Inequalities

    S. V. Nagaev

    Article19983 citations
    ABI

  22. The Exact Constant in the Rosenthal Inequality for Random Variables with Mean Zero

    Rustam Ibragimov, Sh. Sharakhmetov

    Article20023 citations
    ABI

  23. ON A NEW APPROACH TO THE STUDY OF THE DISTRIBUTION OF A NORM OF A RANDOM ELEMENT IN HILBERT SPACE

    S. V. Nagaev

    Chapter19903 citations
    ABI

  24. �ber dyadische Br�che

    A. Khintchine

    Article19233 citations
    ABI

  25. Theory of U-Statistics.

    Paul Janssen, V. S. Koroljuk, Yu. V. Borovskich

    Book19953 citations
    ABI