On the law of the iterated logarithm for sums of independent random variables with finite variances (Q1575997)
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scientific article; zbMATH DE number 1495325
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the law of the iterated logarithm for sums of independent random variables with finite variances |
scientific article; zbMATH DE number 1495325 |
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On the law of the iterated logarithm for sums of independent random variables with finite variances (English)
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24 August 2000
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For a sequence of independent random variables with zero mean and finite variances, rather general conditions of the law of the iterated logarithm are presented that imply an extension of the \textit{A. Kolmogorov} result [Math. Ann. 101, 126-135 (1929; JFM 55.0298.01)]. The theorems of \textit{P. Hartman} and \textit{A. Wintner} are induced as well [Am. J. Math. 63, 169-176 (1941; Zbl 0024.15802)].
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law of the iterated logarithm
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sums of random variables
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