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Almost sure central limit theorem
for strictly stationary processes

Author: Emmanuel Lesigne
Journal: Proc. Amer. Math. Soc. 128 (2000), 1751-1759
MSC (1991): Primary 28D05, 60G10, 60F05
Published electronically: September 30, 1999
MathSciNet review: 1641132
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Abstract | References | Similar Articles | Additional Information

Abstract: On any aperiodic measure preserving system, there exists a square integrable function such that the associated stationary process satifies the Almost Sure Central Limit Theorem.

References [Enhancements On Off] (What's this?)

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Additional Information

Emmanuel Lesigne
Affiliation: Département de Mathématiques, Université François Rabelais, Parc de Grandmont, 37200 Tours, France

Keywords: Almost sure central limit theorem, triangular arrays, stationary processes, measure preserving dynamical systems, approximation by Gaussian processes
Received by editor(s): June 14, 1998
Received by editor(s) in revised form: July 22, 1998
Published electronically: September 30, 1999
Communicated by: Stanley Sawyer
Article copyright: © Copyright 2000 American Mathematical Society

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