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A generalization of the Chung-Mogul'skii law of the iterated logarithm

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  • Shi, Z.

Abstract

The so-called "other law of the iterated logarithm" was first given by Chung (Trans. Amer. Math. Soc.64 (1948), 205-233) and Mogul'skii (Theor. Probab. Appl.24 (1979), 405-413) respectively for a sequence of independent random variables and for the standard empirical process. In this work, we generalize their result for the empirical process of U-statistic structure with the kernel g(x1, ..., xm) = max1

Suggested Citation

  • Shi, Z., 1991. "A generalization of the Chung-Mogul'skii law of the iterated logarithm," Journal of Multivariate Analysis, Elsevier, vol. 37(2), pages 269-278, May.
    • Handle: RePEc:eee:jmvana:v:37:y:1991:i:2:p:269-278
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    Cited by:

    1. Berthet, Philippe, 2005. "Inner rates of coverage of Strassen type sets by increments of the uniform empirical and quantile processes," Stochastic Processes and their Applications, Elsevier, vol. 115(3), pages 493-537, March.

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