References
L. E. Baum and M. Katz, “Convergence rates in the law of large numbers”,Trans. Amer. Math. Soc., 120 (1965), 108–123.
J. A. Davis, “Convergence rates for the law of the iterated, logarithm,” Technical report, No. 144, 1967, University of New Mexico, Dept. of Math. and Statist
C. G. Esseen, “Fourier analysis of distribution functions, A mathematical study of the Laplace-Gaussian law,”Acta. Math., 77 (1945), 1–125.
W. Feller, “The law of the iterated logarithm for identically distributed random variables,”Ann. of Math., 47 (1946), 631–638.
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Heyde, C.C. On the growth of a random walk. Ann Inst Stat Math 20, 315–321 (1968). https://doi.org/10.1007/BF02911644
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DOI: https://doi.org/10.1007/BF02911644