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Teoriya Veroyatnostei i ee Primeneniya, 1977, Volume 22, Issue 3, Pages 449–465
(Mi tvp3247)
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This article is cited in 35 scientific papers (total in 35 papers)
Ideal metrics in the problem of approximating the distributions of sums of independent random variables
V. M. Zolotarev Moscow
Abstract:
In two previous publications [5] and [6], the author introduced special metrics in spaces of probability measures in Banach spaces $U$. These metrics, called ideal, were used in studying approximations of the distributions of sums of independent $U$-valued random variables.
In this paper, a number of new general properties of ideal metrics are established and the possibility of using them in the above problems is demonstrated. In particular, a generalization and refinement of a recent result due to V. Paulauskas is given.
Received: 16.11.1976
Citation:
V. M. Zolotarev, “Ideal metrics in the problem of approximating the distributions of sums of independent random variables”, Teor. Veroyatnost. i Primenen., 22:3 (1977), 449–465; Theory Probab. Appl., 22:3 (1978), 433–449
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https://www.mathnet.ru/eng/tvp3247 https://www.mathnet.ru/eng/tvp/v22/i3/p449
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Abstract page: | 356 | Full-text PDF : | 247 |
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