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Asymptotic behavior of increments of random fields. / Frolov, A. N.

In: Journal of Mathematical Sciences , Vol. 128, No. 1, 07.2005, p. 2604-2613.

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

Harvard

Frolov, AN 2005, 'Asymptotic behavior of increments of random fields', Journal of Mathematical Sciences , vol. 128, no. 1, pp. 2604-2613. https://doi.org/10.1007/s10958-005-0209-9

APA

Frolov, A. N. (2005). Asymptotic behavior of increments of random fields. Journal of Mathematical Sciences , 128(1), 2604-2613. https://doi.org/10.1007/s10958-005-0209-9

Vancouver

Frolov AN. Asymptotic behavior of increments of random fields. Journal of Mathematical Sciences . 2005 Jul;128(1):2604-2613. https://doi.org/10.1007/s10958-005-0209-9

Author

Frolov, A. N. / Asymptotic behavior of increments of random fields. In: Journal of Mathematical Sciences . 2005 ; Vol. 128, No. 1. pp. 2604-2613.

BibTeX

@article{b7e8edbac64649008a7d747d7820b525,
title = "Asymptotic behavior of increments of random fields",
abstract = "We derive universal strong laws for increments of sums of i.i.d. random variables with multidimensional indices without an exponential moment. Our theorems yield the strong law of large numbers, the law of the iterated logarithm, and the Csorgo-Revesz laws for random fields. New results are obtained for distributions from domains of attraction of the normal law and of completely asymmetric stable laws with index α (1, 2). Bibliography: 18 titles.",
author = "Frolov, {A. N.}",
note = "Funding Information: This research was partially supported by the Ministry of Education of the RF (project E00-1.0-82) and by the Program “Leading Scientific Schools” (project 00-15-96019). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2005",
month = jul,
doi = "10.1007/s10958-005-0209-9",
language = "English",
volume = "128",
pages = "2604--2613",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of increments of random fields

AU - Frolov, A. N.

N1 - Funding Information: This research was partially supported by the Ministry of Education of the RF (project E00-1.0-82) and by the Program “Leading Scientific Schools” (project 00-15-96019). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2005/7

Y1 - 2005/7

N2 - We derive universal strong laws for increments of sums of i.i.d. random variables with multidimensional indices without an exponential moment. Our theorems yield the strong law of large numbers, the law of the iterated logarithm, and the Csorgo-Revesz laws for random fields. New results are obtained for distributions from domains of attraction of the normal law and of completely asymmetric stable laws with index α (1, 2). Bibliography: 18 titles.

AB - We derive universal strong laws for increments of sums of i.i.d. random variables with multidimensional indices without an exponential moment. Our theorems yield the strong law of large numbers, the law of the iterated logarithm, and the Csorgo-Revesz laws for random fields. New results are obtained for distributions from domains of attraction of the normal law and of completely asymmetric stable laws with index α (1, 2). Bibliography: 18 titles.

UR - http://www.scopus.com/inward/record.url?scp=21644473191&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0209-9

DO - 10.1007/s10958-005-0209-9

M3 - Article

AN - SCOPUS:21644473191

VL - 128

SP - 2604

EP - 2613

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 75022105