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Generalization and refinement of the integro-local stone theorem for sums of random vectors. / Borovkov, A. A.

In: Theory of Probability and its Applications, Vol. 61, No. 4, 01.01.2017, p. 590-612.

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

Harvard

Borovkov, AA 2017, 'Generalization and refinement of the integro-local stone theorem for sums of random vectors', Theory of Probability and its Applications, vol. 61, no. 4, pp. 590-612. https://doi.org/10.1137/S0040585X97T988368

APA

Borovkov, A. A. (2017). Generalization and refinement of the integro-local stone theorem for sums of random vectors. Theory of Probability and its Applications, 61(4), 590-612. https://doi.org/10.1137/S0040585X97T988368

Vancouver

Borovkov AA. Generalization and refinement of the integro-local stone theorem for sums of random vectors. Theory of Probability and its Applications. 2017 Jan 1;61(4):590-612. doi: 10.1137/S0040585X97T988368

Author

Borovkov, A. A. / Generalization and refinement of the integro-local stone theorem for sums of random vectors. In: Theory of Probability and its Applications. 2017 ; Vol. 61, No. 4. pp. 590-612.

BibTeX

@article{b40824c84bfd47098655c498430e0ab4,
title = "Generalization and refinement of the integro-local stone theorem for sums of random vectors",
abstract = "The integro-local Stone theorem on the asymptotics of the probability that a sum of random vectors enters a small cube is (a) refined under additional moment and structural conditions; (b) generalized to a case of nonidentically distributed summands in the triangular array scheme; (c) the results of item (b) are refined under additional moment and structural conditions.",
keywords = "Bound for the remainder term, Integro-local stone theorem, Sums of random vectors, Triangular array scheme",
author = "Borovkov, {A. A.}",
year = "2017",
month = jan,
day = "1",
doi = "10.1137/S0040585X97T988368",
language = "English",
volume = "61",
pages = "590--612",
journal = "Theory of Probability and its Applications",
issn = "0040-585X",
publisher = "SIAM PUBLICATIONS",
number = "4",

}

RIS

TY - JOUR

T1 - Generalization and refinement of the integro-local stone theorem for sums of random vectors

AU - Borovkov, A. A.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - The integro-local Stone theorem on the asymptotics of the probability that a sum of random vectors enters a small cube is (a) refined under additional moment and structural conditions; (b) generalized to a case of nonidentically distributed summands in the triangular array scheme; (c) the results of item (b) are refined under additional moment and structural conditions.

AB - The integro-local Stone theorem on the asymptotics of the probability that a sum of random vectors enters a small cube is (a) refined under additional moment and structural conditions; (b) generalized to a case of nonidentically distributed summands in the triangular array scheme; (c) the results of item (b) are refined under additional moment and structural conditions.

KW - Bound for the remainder term

KW - Integro-local stone theorem

KW - Sums of random vectors

KW - Triangular array scheme

UR - http://www.scopus.com/inward/record.url?scp=85007595883&partnerID=8YFLogxK

U2 - 10.1137/S0040585X97T988368

DO - 10.1137/S0040585X97T988368

M3 - Article

AN - SCOPUS:85007595883

VL - 61

SP - 590

EP - 612

JO - Theory of Probability and its Applications

JF - Theory of Probability and its Applications

SN - 0040-585X

IS - 4

ER -

ID: 10523293