Abstract
We obtain some results concerning the upper limit of a random sequence and the law of the iterated logarithm for sums of independent random variables.
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REFERENCES
V. V. Petrov, “Some estimates for sums of dependent random variables that are satisfied almost surely,” Zap. Nauchn. Semin. Leningrad. Otdelen. Mat. Inst. Akad. Nauk SSSR, 55, 113–116 (1976).
V. V. Petrov, “On the law of the iterated logarithm for sequences of dependent random variables,” Zap. Nauchn. Semin. Leningrad. Otdelen. Mat. Inst. Akad. Nauk SSSR, 97, 186–194 (1980).
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Petrov, V.V. On the Upper Limit of a Random Sequence and the Law of the Iterated Logarithm. Ukrainian Mathematical Journal 52, 1453–1456 (2000). https://doi.org/10.1023/A:1010336304178
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DOI: https://doi.org/10.1023/A:1010336304178