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Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra. / Götze, F.; Zaitsev, A. Yu.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 1, 01.11.2020, p. 67-73.

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Götze, F & Zaitsev, AY 2020, 'Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra', Journal of Mathematical Sciences (United States), vol. 251, no. 1, pp. 67-73. https://doi.org/10.1007/s10958-020-05065-9

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Author

Götze, F. ; Zaitsev, A. Yu. / Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 1. pp. 67-73.

BibTeX

@article{7b0842502a5e4ca5aca2e70f57059482,
title = "Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra",
abstract = "The aim of the present work is to show that previously obtained results on approximation of the distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of closeness of the sequential convolutions of multidimensional distributions are transferred to the estimates for closeness of the convolutions of probability distributions on convex polyhedra.",
author = "F. G{\"o}tze and Zaitsev, {A. Yu}",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2020",
month = nov,
day = "1",
doi = "10.1007/s10958-020-05065-9",
language = "English",
volume = "251",
pages = "67--73",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Estimates for Closeness of Convolutions of Probability Distributions on Convex Polyhedra

AU - Götze, F.

AU - Zaitsev, A. Yu

N1 - Publisher Copyright: © 2020, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/1

Y1 - 2020/11/1

N2 - The aim of the present work is to show that previously obtained results on approximation of the distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of closeness of the sequential convolutions of multidimensional distributions are transferred to the estimates for closeness of the convolutions of probability distributions on convex polyhedra.

AB - The aim of the present work is to show that previously obtained results on approximation of the distributions of sums of independent summands by the accompanying compound Poisson laws and the estimates of closeness of the sequential convolutions of multidimensional distributions are transferred to the estimates for closeness of the convolutions of probability distributions on convex polyhedra.

UR - http://www.scopus.com/inward/record.url?scp=85092357883&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-05065-9

DO - 10.1007/s10958-020-05065-9

M3 - Article

AN - SCOPUS:85092357883

VL - 251

SP - 67

EP - 73

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 72818232