Moment inequalities for sums of weakly dependent random fields-Reference-Cited by-同舟云学术

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Moment inequalities for sums of weakly dependent random fields

Published:2024-08-01 Issue:3 Volume:30 Page:
ISSN:1350-7265
Container-title:Bernoulli
language:
Short-container-title:Bernoulli

Author:

Blanchard Gilles¹,Carpentier Alexandra²,Zadorozhnyi Oleksandr³

Affiliation:

1. Institut de Mathématiques d’Orsay, Université Paris-Saclay, Paris, France

2. Institut für Mathematik, Universität Potsdam, Germany

3. Lerhstuhl für Mathematische Statistik, TUM School of Computation, Information and Technology Technical University of Munich, Germany

Publisher

Bernoulli Society for Mathematical Statistics and Probability

Reference37 articles.

1. Rio, E. (1993). Covariance inequalities for strongly mixing processes. Ann. Inst. Henri Poincaré Probab. Stat. 29 587–597.

2. Wu, W.B. (2005). Nonlinear system theory: Another look at dependence. Proc. Natl. Acad. Sci. USA 102 14150–14154. 10.1073/pnas.0506715102

3. Dehling, H. and Philipp, W. (1982). Almost sure invariance principles for weakly dependent vector-valued random variables. Ann. Probab. 10 689–701.

4. Rio, E. (2000). Théorie Asymptotique des Processus Aléatoires Faiblement Dépendants. Mathématiques & Applications (Berlin) [Mathematics & Applications] 31. Berlin: Springer.

5. Cairoli, R. and Walsh, J.B. (1975). Stochastic integrals in the plane. Acta Math. 134 111–183. 10.1007/BF02392100

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