Standard

Some extract rates in the functional law of the iterated logarithm. / Berthet, Philippe; Lifshits, Mikhail.

в: Annales de l'institut Henri Poincare (B) Probability and Statistics, Том 38, № 6, 01.01.2002, стр. 811-824.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Berthet, P & Lifshits, M 2002, 'Some extract rates in the functional law of the iterated logarithm', Annales de l'institut Henri Poincare (B) Probability and Statistics, Том. 38, № 6, стр. 811-824. https://doi.org/10.1016/S0246-0203(02)01131-7

APA

Berthet, P., & Lifshits, M. (2002). Some extract rates in the functional law of the iterated logarithm. Annales de l'institut Henri Poincare (B) Probability and Statistics, 38(6), 811-824. https://doi.org/10.1016/S0246-0203(02)01131-7

Vancouver

Berthet P, Lifshits M. Some extract rates in the functional law of the iterated logarithm. Annales de l'institut Henri Poincare (B) Probability and Statistics. 2002 Янв. 1;38(6):811-824. https://doi.org/10.1016/S0246-0203(02)01131-7

Author

Berthet, Philippe ; Lifshits, Mikhail. / Some extract rates in the functional law of the iterated logarithm. в: Annales de l'institut Henri Poincare (B) Probability and Statistics. 2002 ; Том 38, № 6. стр. 811-824.

BibTeX

@article{e2ccd549d3424840b2ea20dcf374af8e,
title = "Some extract rates in the functional law of the iterated logarithm",
abstract = "We find exact convergence rate in the Strassen's functional law of the iterated logarithm for a class of elements on the boundary of the limit set. Our result applies, in particular, to the power functions cαxα with α ∈ ]1/2, 1[, thus solving a small ball estimate problem which was open for ten years.",
keywords = "Brownian motion, Small ball probabilities, Strassen's and Chung's functional laws",
author = "Philippe Berthet and Mikhail Lifshits",
year = "2002",
month = jan,
day = "1",
doi = "10.1016/S0246-0203(02)01131-7",
language = "English",
volume = "38",
pages = "811--824",
journal = "Annales de l'institut Henri Poincare (B) Probability and Statistics",
issn = "0246-0203",
publisher = "Institute of Mathematical Statistics",
number = "6",

}

RIS

TY - JOUR

T1 - Some extract rates in the functional law of the iterated logarithm

AU - Berthet, Philippe

AU - Lifshits, Mikhail

PY - 2002/1/1

Y1 - 2002/1/1

N2 - We find exact convergence rate in the Strassen's functional law of the iterated logarithm for a class of elements on the boundary of the limit set. Our result applies, in particular, to the power functions cαxα with α ∈ ]1/2, 1[, thus solving a small ball estimate problem which was open for ten years.

AB - We find exact convergence rate in the Strassen's functional law of the iterated logarithm for a class of elements on the boundary of the limit set. Our result applies, in particular, to the power functions cαxα with α ∈ ]1/2, 1[, thus solving a small ball estimate problem which was open for ten years.

KW - Brownian motion

KW - Small ball probabilities

KW - Strassen's and Chung's functional laws

UR - http://www.scopus.com/inward/record.url?scp=0036846352&partnerID=8YFLogxK

U2 - 10.1016/S0246-0203(02)01131-7

DO - 10.1016/S0246-0203(02)01131-7

M3 - Article

AN - SCOPUS:0036846352

VL - 38

SP - 811

EP - 824

JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

SN - 0246-0203

IS - 6

ER -

ID: 37010981