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

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  • R. Ibragimov
  • Sh. Sharakhmetov

Abstract

In this paper we prove the analogues of Khintchine, Marcinkiewicz–Zygmund and Rosenthal moment inequalities for symmetric statistics of second order in not identically distributed random variables.

Suggested Citation

  • R. Ibragimov & Sh. Sharakhmetov, 1999. "Analogues of Khintchine, Marcinkiewicz–Zygmund and Rosenthal Inequalities for Symmetric Statistics," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 26(4), pages 621-633, December.
    • Handle: RePEc:bla:scjsta:v:26:y:1999:i:4:p:621-633
    DOI: 10.1111/1467-9469.00172
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    Cited by:

    1. de la Peña, Victor H. & Sharakhmetov, Shaturgun & Ibragimov, Rustam, 2003. "On Extremal Distributions and Sharp L[sub]p-Bounds For Sums of Multilinear Forms," Scholarly Articles 2624455, Harvard University Department of Economics.
    2. R. Ibragimov & Sh. Sharakhmetov & A. Cecen, 2001. "Exact Estimates for Moments of Random Bilinear Forms," Journal of Theoretical Probability, Springer, vol. 14(1), pages 21-37, January.
    3. Yonekura, Shouto & Beskos, Alexandros & Singh, Sumeetpal S., 2021. "Asymptotic analysis of model selection criteria for general hidden Markov models," Stochastic Processes and their Applications, Elsevier, vol. 132(C), pages 164-191.
    4. Shanchao, Yang, 2006. "Moment inequalities for sums of products of independent random variables," Statistics & Probability Letters, Elsevier, vol. 76(18), pages 1994-2000, December.

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