ON ONE REMARK ON W. FELLER'S STUDY OF THE LAW OF ITERATED LOGARITHM
Vol. 3 No. 3 (2023): Eurasian Journal of Mathematical Theory and Computer Sciences 56-62
Abstract
The role of the extreme summands in the behavior of the entire sum in the law of the iterated logarithm is determined in this article. An example is constructed in which all the conditions of W. Feller's theorem on the law of the iterated logarithm are satisfied; however, its result does not follow. This is because of the fact that the imposed condition on the truncated variance in W. Feller's theorem is not sufficient.
References
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