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Strong limit theorems for increments of sums of independent random variables. / Frolov, A. N.
в: Journal of Mathematical Sciences , Том 133, № 3, 03.2006, стр. 1356-1370.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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