A quenched weak invariance principle

Jérôme Dedecker; Florence Merlevède; Magda Peligrad

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arXiv · 1204.4554

A quenched weak invariance principle

Jérôme Dedecker·Florence Merlevède·Magda Peligrad

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Abstract

In this paper we study the almost sure conditional central limit theorem in its functional form for a class of random variables satisfying a projective criterion. Applications to strongly mixing processes and non irreducible Markov chains are given. The proofs are based on the normal approximation of double indexed martingale-like sequences, a theory which has interest in itself.

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BibTeX RIS

Jérôme Dedecker, Florence Merlevède, Magda Peligrad. 2013-03-06. A quenched weak invariance principle. https://arxiv.org/abs/1204.4554

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