An invariance principle for the law of the iterated logarithm for some Markov chains

W. Bołt; A. A. Majewski; T. Szarek

Studia Mathematica (2012)

  • Volume: 212, Issue: 1, page 41-53
  • ISSN: 0039-3223

Abstract

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Strassen's invariance principle for additive functionals of Markov chains with spectral gap in the Wasserstein metric is proved.

How to cite

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W. Bołt, A. A. Majewski, and T. Szarek. "An invariance principle for the law of the iterated logarithm for some Markov chains." Studia Mathematica 212.1 (2012): 41-53. <http://eudml.org/doc/285762>.

@article{W2012,
abstract = {Strassen's invariance principle for additive functionals of Markov chains with spectral gap in the Wasserstein metric is proved.},
author = {W. Bołt, A. A. Majewski, T. Szarek},
journal = {Studia Mathematica},
keywords = {ergodicity of Markov families; invariant measure; law of iterated logarithm},
language = {eng},
number = {1},
pages = {41-53},
title = {An invariance principle for the law of the iterated logarithm for some Markov chains},
url = {http://eudml.org/doc/285762},
volume = {212},
year = {2012},
}

TY - JOUR
AU - W. Bołt
AU - A. A. Majewski
AU - T. Szarek
TI - An invariance principle for the law of the iterated logarithm for some Markov chains
JO - Studia Mathematica
PY - 2012
VL - 212
IS - 1
SP - 41
EP - 53
AB - Strassen's invariance principle for additive functionals of Markov chains with spectral gap in the Wasserstein metric is proved.
LA - eng
KW - ergodicity of Markov families; invariant measure; law of iterated logarithm
UR - http://eudml.org/doc/285762
ER -

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