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The almost sure limit theorem for sums of random vectors. / Lifshits, M. A.

In: Journal of Mathematical Sciences, Vol. 109, No. 6, 01.01.2002, p. 2166-2178.

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

Harvard

Lifshits, MA 2002, 'The almost sure limit theorem for sums of random vectors', Journal of Mathematical Sciences, vol. 109, no. 6, pp. 2166-2178. https://doi.org/10.1023/A:1014533500973

APA

Lifshits, M. A. (2002). The almost sure limit theorem for sums of random vectors. Journal of Mathematical Sciences, 109(6), 2166-2178. https://doi.org/10.1023/A:1014533500973

Vancouver

Lifshits MA. The almost sure limit theorem for sums of random vectors. Journal of Mathematical Sciences. 2002 Jan 1;109(6):2166-2178. https://doi.org/10.1023/A:1014533500973

Author

Lifshits, M. A. / The almost sure limit theorem for sums of random vectors. In: Journal of Mathematical Sciences. 2002 ; Vol. 109, No. 6. pp. 2166-2178.

BibTeX

@article{f8e153d6f68f41949925fc5490092f91,
title = "The almost sure limit theorem for sums of random vectors",
abstract = "We establish a sufficient condition for an almost sure limit theorem for sums of independent random vectors under minimal moment conditions and assumptions on normalizing sequences. We provide an example showing that our condition is close to the optimal one, as well as a related sufficient condition due to Berkes and Dehling.",
author = "Lifshits, {M. A.}",
year = "2002",
month = jan,
day = "1",
doi = "10.1023/A:1014533500973",
language = "English",
volume = "109",
pages = "2166--2178",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - The almost sure limit theorem for sums of random vectors

AU - Lifshits, M. A.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We establish a sufficient condition for an almost sure limit theorem for sums of independent random vectors under minimal moment conditions and assumptions on normalizing sequences. We provide an example showing that our condition is close to the optimal one, as well as a related sufficient condition due to Berkes and Dehling.

AB - We establish a sufficient condition for an almost sure limit theorem for sums of independent random vectors under minimal moment conditions and assumptions on normalizing sequences. We provide an example showing that our condition is close to the optimal one, as well as a related sufficient condition due to Berkes and Dehling.

UR - http://www.scopus.com/inward/record.url?scp=52649107091&partnerID=8YFLogxK

U2 - 10.1023/A:1014533500973

DO - 10.1023/A:1014533500973

M3 - Article

AN - SCOPUS:52649107091

VL - 109

SP - 2166

EP - 2178

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 37010879