Probabilistic limit theorems via the operator perturbation method, under optimal moment assumptions-Reference-Cited by-同舟云学术

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Probabilistic limit theorems via the operator perturbation method, under optimal moment assumptions

Published:2024-08-01 Issue:3 Volume:60 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Pène Françoise¹

Affiliation:

1. Univ Brest, Université de Brest, LMBA, UMR CNRS 6205, 6 avenue Le Gorgeu, 29238 Brest cedex, France

Publisher

Institute of Mathematical Statistics

Reference39 articles.

1. D. Dolgopyat and K. Fernando An error term in the Central Limit Theorem for sums of discrete random variables. Preprint.

2. M. Benda. A central limit theorem for contractive stochastic dynamical systems. J. Appl. Probab. 35 (1998) 200–205.

3. H. Hennion and L. Hervé. Central limit theorems for iterated random Lipschitz mappings. Ann. Probab. 32 (2004) 1934–1984.

4. P. Diaconis and D. Freedman. Iterated random functions. SIAM Rev. 41 (1) (1999) 45–76.

5. P. Bálint and S. Gouëzel. Limit theorems in the stadium billiard. Comm. Math. Phys. 263 (2006) 461–512.

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