# Recent advances in invariance principles for stationary sequences.

Merlevède, Florence; Peligrad, Magda; Utev, Sergey

Probability Surveys [electronic only] (2006)

- Volume: 3, page 1-36
- ISSN: 1549-5787

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topMerlevède, Florence, Peligrad, Magda, and Utev, Sergey. "Recent advances in invariance principles for stationary sequences.." Probability Surveys [electronic only] 3 (2006): 1-36. <http://eudml.org/doc/231536>.

@article{Merlevède2006,

author = {Merlevède, Florence, Peligrad, Magda, Utev, Sergey},

journal = {Probability Surveys [electronic only]},

keywords = {Brownian motion; weakly dependent sequences; martingale differences; linear process; central limit theorem; invariance principle},

language = {eng},

pages = {1-36},

publisher = {Sponsored by Institute of Mathematical Statistics and by the Bernoulli Society},

title = {Recent advances in invariance principles for stationary sequences.},

url = {http://eudml.org/doc/231536},

volume = {3},

year = {2006},

}

TY - JOUR

AU - Merlevède, Florence

AU - Peligrad, Magda

AU - Utev, Sergey

TI - Recent advances in invariance principles for stationary sequences.

JO - Probability Surveys [electronic only]

PY - 2006

PB - Sponsored by Institute of Mathematical Statistics and by the Bernoulli Society

VL - 3

SP - 1

EP - 36

LA - eng

KW - Brownian motion; weakly dependent sequences; martingale differences; linear process; central limit theorem; invariance principle

UR - http://eudml.org/doc/231536

ER -

## Citations in EuDML Documents

top- Olivier Durieu, Dalibor Volný, Comparison between criteria leading to the weak invariance principle
- Alfredas Račkauskas, Charles Suquet, Hölderian invariance principle for Hilbertian linear processes
- Patrick Cattiaux, Mawaki Manou-Abi, Limit theorems for some functionals with heavy tails of a discrete time Markov chain
- Jérôme Dedecker, Florence Merlevède, Magda Peligrad, A quenched weak invariance principle

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