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On one-sided strong laws for large increments of sums. / Frolov, Andrei N.

In: Statistics and Probability Letters, Vol. 37, No. 2, 15.02.1998, p. 155-165.

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

Harvard

Frolov, AN 1998, 'On one-sided strong laws for large increments of sums', Statistics and Probability Letters, vol. 37, no. 2, pp. 155-165. https://doi.org/10.1016/s0167-7152(97)00113-2

APA

Frolov, A. N. (1998). On one-sided strong laws for large increments of sums. Statistics and Probability Letters, 37(2), 155-165. https://doi.org/10.1016/s0167-7152(97)00113-2

Vancouver

Frolov AN. On one-sided strong laws for large increments of sums. Statistics and Probability Letters. 1998 Feb 15;37(2):155-165. https://doi.org/10.1016/s0167-7152(97)00113-2

Author

Frolov, Andrei N. / On one-sided strong laws for large increments of sums. In: Statistics and Probability Letters. 1998 ; Vol. 37, No. 2. pp. 155-165.

BibTeX

@article{731fe216543247e98a80a6c345724706,
title = "On one-sided strong laws for large increments of sums",
abstract = "We obtain necessary and sufficient conditions for one-sided strong laws of large numbers and laws of the iterated logarithm for large increments of sums of i.i.d. random variables. Our results are generalizations of Cs{\"o}rg{\"o}-R{\'e}v{\'e}sz results on strong approximation laws.",
keywords = "Large deviations, Law of the iterated logarithm, Moderate deviations, One-sided strong law of large numbers",
author = "Frolov, {Andrei N.}",
note = "Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "1998",
month = feb,
day = "15",
doi = "10.1016/s0167-7152(97)00113-2",
language = "English",
volume = "37",
pages = "155--165",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier",
number = "2",

}

RIS

TY - JOUR

T1 - On one-sided strong laws for large increments of sums

AU - Frolov, Andrei N.

N1 - Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 1998/2/15

Y1 - 1998/2/15

N2 - We obtain necessary and sufficient conditions for one-sided strong laws of large numbers and laws of the iterated logarithm for large increments of sums of i.i.d. random variables. Our results are generalizations of Csörgö-Révész results on strong approximation laws.

AB - We obtain necessary and sufficient conditions for one-sided strong laws of large numbers and laws of the iterated logarithm for large increments of sums of i.i.d. random variables. Our results are generalizations of Csörgö-Révész results on strong approximation laws.

KW - Large deviations

KW - Law of the iterated logarithm

KW - Moderate deviations

KW - One-sided strong law of large numbers

UR - http://www.scopus.com/inward/record.url?scp=0032519168&partnerID=8YFLogxK

U2 - 10.1016/s0167-7152(97)00113-2

DO - 10.1016/s0167-7152(97)00113-2

M3 - Article

AN - SCOPUS:0032519168

VL - 37

SP - 155

EP - 165

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 2

ER -

ID: 75020522