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ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗. / Götze, F.; Zaitsev, A. Yu.

In: Theory of Probability and its Applications, Vol. 67, No. 1, 2022, p. 1-16.

Research output: Contribution to journal › Article › peer-review

Harvard

Götze, F & Zaitsev, AY 2022, 'ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗', Theory of Probability and its Applications, vol. 67, no. 1, pp. 1-16. https://doi.org/10.1137/S0040585X97T99071X

APA

Götze, F., & Zaitsev, A. Y. (2022). ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗. Theory of Probability and its Applications, 67(1), 1-16. https://doi.org/10.1137/S0040585X97T99071X

Vancouver

Götze F, Zaitsev AY. ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗. Theory of Probability and its Applications. 2022;67(1):1-16. https://doi.org/10.1137/S0040585X97T99071X

Author

Götze, F. ; Zaitsev, A. Yu. / ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗. In: Theory of Probability and its Applications. 2022 ; Vol. 67, No. 1. pp. 1-16.

BibTeX

@article{a702d5c7b1dd4e27967be08f7319ccca,
title = "ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV{\textquoteright}S SECOND UNIFORM LIMIT THEOREM∗",
abstract = "The aim of the present work is to show that our recent results on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be obtained via an alternative class of approximating infinitely divisible distributions. We will also generalize the results to the infinite-dimensional case.",
keywords = "convex polyhedral, infiniteldivisible approximation, Kolmogorov{\textquoteright}s uniform limit theorem, multidimensional distribution, равномерная предельная теорема Колмогорова, многомерные распределения, безгранично делимая аппроксимация, выпуклые многогранники.",
author = "F. G{\"o}tze and Zaitsev, {A. Yu}",
note = "Publisher Copyright: {\textcopyright} by SIAM.",
year = "2022",
doi = "10.1137/S0040585X97T99071X",
language = "English",
volume = "67",
pages = "1--16",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "Society for Industrial and Applied Mathematics",
number = "1",

}

RIS

TY - JOUR

T1 - ON ALTERNATIVE APPROXIMATING DISTRIBUTIONS IN THE MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM∗

AU - Götze, F.

AU - Zaitsev, A. Yu

N1 - Publisher Copyright: © by SIAM.

PY - 2022

Y1 - 2022

N2 - The aim of the present work is to show that our recent results on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be obtained via an alternative class of approximating infinitely divisible distributions. We will also generalize the results to the infinite-dimensional case.

AB - The aim of the present work is to show that our recent results on the approximation of distributions of sums of independent summands by the infinitely divisible laws on convex polyhedra can be obtained via an alternative class of approximating infinitely divisible distributions. We will also generalize the results to the infinite-dimensional case.

KW - convex polyhedral

KW - infiniteldivisible approximation

KW - Kolmogorov’s uniform limit theorem

KW - multidimensional distribution

KW - равномерная предельная теорема Колмогорова, многомерные распределения, безгранично делимая аппроксимация, выпуклые многогранники.

UR - http://www.scopus.com/inward/record.url?scp=85131042694&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/161a5914-3ce2-3cf2-9cb4-d025d4911f14/

U2 - 10.1137/S0040585X97T99071X

DO - 10.1137/S0040585X97T99071X

M3 - Article

AN - SCOPUS:85131042694

VL - 67

SP - 1

EP - 16

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 1

ER -

ID: 100911356