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Central limit theorems for logarithmic averages

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 38: Issue 1-4
DOI:
https://doi.org/10.1556/sscmath.38.2001.1-4.6
Authors: I. Berkes, L. Horváth, and X. Chen

Stochastic Process. Appl. 59 105 123 HORVÁTH, L. and KHOSHNEVISAN, D., A strong approximation for logarithmic

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A nonclassical LIL for sums of B-valued random variables when extreme terms are excluded

Acta Mathematica Hungarica
Volume/Issue:
Volume 137: Issue 1-2
DOI:
https://doi.org/10.1007/s10474-012-0209-4
Author: Ke-Ang Fu

References [1] Zhang , L. X. 2002 Strong approximation theorems for sums of random variables when extreme terms are excluded

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A law of the single logarithm for moving averages of random variables under exponential moment conditions

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 36: Issue 1-2
DOI:
https://doi.org/10.1556/sscmath.36.2000.1-2.8
Author: H. Lanzinger

207 220 CSÖRGÖ, M. and RÉVÉSZ, P., Strong approximations in probability and statistics , Probability and Mathematical Statistics, Academic Press, New York-London, 1981. MR 84d :60050

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A joint functional law for the Wiener process and principal value

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 40: Issue 1-2
DOI:
https://doi.org/10.1556/sscmath.40.2003.1-2.19
Authors: E. Csáki, A. Földes, and Z. Shi

I 365 387 Csörgö, M. And Révész, P., Strong approximations in probability and statistics , Probability and Mathematical Statistics, Academic Press

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Law of the iterated logarithm for self-normalized sums and their increments

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 43: Issue 1
DOI:
https://doi.org/10.1556/sscmath.43.2006.1.6
Authors: Han-Ying Liang, Jong-Il Baek, and Josef Steinebach

, M. and Révész, P., Strong Approximations in Probability and Statistics , Academic Press, New York (1981). MR 84d:60050 Strong Approximations in Probability and Statistics

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Almost sure functional limit theromes. Part II. The case of indepent random variables

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 36: Issue 1-2
DOI:
https://doi.org/10.1556/sscmath.36.2000.1-2.16
Author: Péter Major

42 #5292 An introduction to probability theory and its applications , Vol. II HORVÁTH, L. and KHOSHNEVISAN, D., A strong approximation for

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A general LIL for B-valued geometrically weighted series under dependent assumption

Acta Mathematica Hungarica
Volume/Issue:
Volume 133: Issue 4
DOI:
https://doi.org/10.1007/s10474-011-0146-7
Author: Ke-Ang Fu

. 1997 Strong approximation theorems for geometrically weighted random series and their applications Ann. Probab. 25 1621 – 1635 10.1214/aop/1023481105

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Estimates of Functions with Transformed Double Fourier Series

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 58: Issue 1
DOI:
https://doi.org/10.1556/012.2021.58.1.1478
Author: Boris V. Simonov

Gruyter , 2002 . [46] S . Tikhonov . Embedding results of strong approximation by Fourier series . Acta Sci. Math. (Szeged), 72:117–128, 2006. Fiorst published as S. TIkhonov, Embedding theorems of function classes, IV, November 2005, CRM, preprint

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