A uniform central limit theorem for dependent variables

Konrad Furmańczyk

Applicationes Mathematicae (2009)

  • Volume: 36, Issue: 2, page 129-138
  • ISSN: 1233-7234

Abstract

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Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.

How to cite

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Konrad Furmańczyk. "A uniform central limit theorem for dependent variables." Applicationes Mathematicae 36.2 (2009): 129-138. <http://eudml.org/doc/280041>.

@article{KonradFurmańczyk2009,
abstract = {Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.},
author = {Konrad Furmańczyk},
journal = {Applicationes Mathematicae},
keywords = {central limit theorem; uniform central limit theorem; linear process},
language = {eng},
number = {2},
pages = {129-138},
title = {A uniform central limit theorem for dependent variables},
url = {http://eudml.org/doc/280041},
volume = {36},
year = {2009},
}

TY - JOUR
AU - Konrad Furmańczyk
TI - A uniform central limit theorem for dependent variables
JO - Applicationes Mathematicae
PY - 2009
VL - 36
IS - 2
SP - 129
EP - 138
AB - Niemiro and Zieliński (2007) have recently obtained uniform asymptotic normality for the Bernoulli scheme. This paper concerns a similar problem. We show the uniform central limit theorem for a sequence of stationary random variables.
LA - eng
KW - central limit theorem; uniform central limit theorem; linear process
UR - http://eudml.org/doc/280041
ER -

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