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  • Author or Editor: I. Berkes x
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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

We prove central limit theorems and related asymptotic results for where W is a Wiener process and Sk are partial sums of i.i.d. random variables with mean 0 and variance 1. The integrability and smoothness conditions made on f are optimal in a number of important cases.

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Strong Laws for L p -Norms of Empirical and Related Processes

Periodica Mathematica Hungarica
Volume/Issue:
Volume 41: Issue 1-2
DOI:
https://doi.org/10.1023/a:1010352018367
Authors:
I. Berkes
,
L. Horváth
,
Qui-Man Shao
, and
J. Steinebach
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A strong approximation theorem for sums of random vectors in the domain of attraction to a stable law

Acta Mathematica Hungarica
Volume/Issue:
Volume 48: Issue 1-2
DOI:
https://doi.org/10.1007/bf01949061
Authors:
I. Berkes
,
A. Dabrowski
,
H. Dehling
, and
W. Philipp
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