Standard

Strong limit theorems for increments of sums of independent random variables. / Frolov, A. N.

In: Journal of Mathematical Sciences , Vol. 133, No. 3, 03.2006, p. 1356-1370.

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

Harvard

Frolov, AN 2006, 'Strong limit theorems for increments of sums of independent random variables', Journal of Mathematical Sciences , vol. 133, no. 3, pp. 1356-1370. https://doi.org/10.1007/s10958-006-0046-5

APA

Frolov, A. N. (2006). Strong limit theorems for increments of sums of independent random variables. Journal of Mathematical Sciences , 133(3), 1356-1370. https://doi.org/10.1007/s10958-006-0046-5

Vancouver

Frolov AN. Strong limit theorems for increments of sums of independent random variables. Journal of Mathematical Sciences . 2006 Mar;133(3):1356-1370. https://doi.org/10.1007/s10958-006-0046-5

Author

Frolov, A. N. / Strong limit theorems for increments of sums of independent random variables. In: Journal of Mathematical Sciences . 2006 ; Vol. 133, No. 3. pp. 1356-1370.

BibTeX

@article{040b10633eb94bf1a672a14073a7e91d,
title = "Strong limit theorems for increments of sums of independent random variables",
abstract = "We derive universal strong laws for increments of sums of independent, nonidentically distributed, random variables. These results generalize universal results of the author for the i.i.d. case which include the strong law of large numbers, law of the iterated logarithm, Erdos-Renyi law, and Csorgo-Revesz laws.",
author = "Frolov, {A. N.}",
note = "Funding Information: forallj≤im−im−1+anandallm≤M. Thisinequalityimplies(5). Relation(6)canbeprovedinthesame way. The rest of the proof is the same as that of Theorem 7. Hence, we omit the details. □ This research was partially supported by the Ministry of Education of Russia (project E02-1.0-56), by the RFBR (project 02-01-00779), and by the Program “Leading Scientific Schools” (project 2258.2003.1). Copyright: Copyright 2006 Elsevier B.V., All rights reserved.",
year = "2006",
month = mar,
doi = "10.1007/s10958-006-0046-5",
language = "English",
volume = "133",
pages = "1356--1370",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Strong limit theorems for increments of sums of independent random variables

AU - Frolov, A. N.

N1 - Funding Information: forallj≤im−im−1+anandallm≤M. Thisinequalityimplies(5). Relation(6)canbeprovedinthesame way. The rest of the proof is the same as that of Theorem 7. Hence, we omit the details. □ This research was partially supported by the Ministry of Education of Russia (project E02-1.0-56), by the RFBR (project 02-01-00779), and by the Program “Leading Scientific Schools” (project 2258.2003.1). Copyright: Copyright 2006 Elsevier B.V., All rights reserved.

PY - 2006/3

Y1 - 2006/3

N2 - We derive universal strong laws for increments of sums of independent, nonidentically distributed, random variables. These results generalize universal results of the author for the i.i.d. case which include the strong law of large numbers, law of the iterated logarithm, Erdos-Renyi law, and Csorgo-Revesz laws.

AB - We derive universal strong laws for increments of sums of independent, nonidentically distributed, random variables. These results generalize universal results of the author for the i.i.d. case which include the strong law of large numbers, law of the iterated logarithm, Erdos-Renyi law, and Csorgo-Revesz laws.

UR - http://www.scopus.com/inward/record.url?scp=31344434461&partnerID=8YFLogxK

U2 - 10.1007/s10958-006-0046-5

DO - 10.1007/s10958-006-0046-5

M3 - Article

AN - SCOPUS:31344434461

VL - 133

SP - 1356

EP - 1370

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 75022319