On the Law of the Iterated Logarithm for Sums of Dependent Random Variables

被引：0

作者：

Petrov V.V. ^{[1
]}

机构：

[1] St.Petersburg State University, St.Petersburg

来源：

Journal of Mathematical Sciences | 2021年 / 258卷 / 6期

关键词：

D O I：

10.1007/s10958-021-05588-9

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学科分类号：

摘要：

Sufficient conditions are found for the applicability of the generalized law of the iterated logarithm for sums of dependent random variables in the case where the sequence of normalizing constants is not necessarily nondecreasing. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：894 / 896

页数：2

共 7 条

[1]

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[2]

Kolmogoroff A., ¨Uber das Gesetz des iterierten Logarithmus, Math. Ann., 101, pp. 126-135, (1929)

[3]

Petrov V.V., Limit Theorems of Probability Theory, (1995)

[4]

Hoeffding W., Robbins H., The central limit theorem for dependent random variables, Duke Math. J., 15, pp. 773-780, (1948)

[5]

Petrov V.V., On the law of the iterated logarithm for sequences of dependent random variables, Zap. Nauchn. Semin. LOMI, 97, 5, pp. 186-194, (1984)

[6]

Petrov V.V., Sequences of m-orthogonal random variables, Zap. Nauchn. Semin. LOMI, 119, pp. 198-202, (1982)

[7]

Petrov V.V., On the law of the iterated logarithm for sequences of dependent random variables, Vestn. St.-Petersb. Univ., 4, 62, pp. 49-52, (2017)

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