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This article is cited in 6 scientific papers (total in 6 papers)
A generalization of Esseen's inequality and its application in probabilistic number theory
A. S. Fainleib
Abstract:
We prove a generalization of Esseen's inequality on rhe estimation of the difference between distribution functions in terms of the difference between their characteristic functions. The generalization holds without any restrictions on the distributions in question. The result is applied to the refinement of the limit theorems connected with the distribution of values of arithmetical functions.
Received: 26.06.1967
Citation:
A. S. Fainleib, “A generalization of Esseen's inequality and its application in probabilistic number theory”, Math. USSR-Izv., 2:4 (1968), 821–844
Linking options:
https://www.mathnet.ru/eng/im2495https://doi.org/10.1070/IM1968v002n04ABEH000672 https://www.mathnet.ru/eng/im/v32/i4/p859
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