Almost sure central limit theorem for strictly stationary processes
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- by Emmanuel Lesigne PDF
- Proc. Amer. Math. Soc. 128 (2000), 1751-1759 Request permission
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
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Additional Information
- Emmanuel Lesigne
- Affiliation: Département de Mathématiques, Université François Rabelais, Parc de Grandmont, 37200 Tours, France
- Email: lesigne@univ-tours.fr
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1751-1759
- MSC (1991): Primary 28D05, 60G10, 60F05
- DOI: https://doi.org/10.1090/S0002-9939-99-05157-6
- MathSciNet review: 1641132