Título: Deviation inequalities for sums of weakly dependent time series
Autores: Olivier, Wintenberger; CEREMADE
Fecha: 2010-01-01
Publicador: Electronic communications in probability
Fuente:
Tipo: Peer-reviewed Article

Tema: Bernstein's type inequalities; weak dependence; coupling schemes; Bernoulli schifts; Markov chains; expanding maps
60E15; 60G10
Descripción: In this paper we give new deviation inequalities for the partial sums of weakly dependent data. The loss from the independent case is studied carefully. We give examples of non mixing time series such that dynamical systems and Bernoulli shifts for whom such deviation inequality holds. The proofs are based on the blocks technique and different coupling arguments.
Idioma: No aplica

Artículos similares:

Simulations and Conjectures for Disconnection Exponents por Puckette, Emily E.; Occidental College,Werner, Wendelin; Université Paris-Sud and IUF
A Proof of a Conjecture of Bobkov and Houdré por Kwapien, S.; Warsaw University,Pycia, M.; Warsaw University,Schachermayer, W.; University of Vienna
Excursions Into a New Duality Relation for Diffusion Processes por Jansons, Kalvis M.; University College London
Moderate Deviations for Martingales with Bounded Jumps por Dembo, Amir; Stanford University
Percolation Beyond $Z^d$, Many Questions And a Few Answers por Benjamini, Itai; Weizmann Institute of Science,Schramm, Oded; Microsoft Research
Bounds for Disconnection Exponents por Werner, Wendelin; Université Paris-Sud and IUF
Transportation Approach to Some Concentration Inequalities in Product Spaces por Dembo, Amir; Stanford University,Zeitouni, Ofer; Technion - Israel Institute of Technology
The Dimension of the Frontier of Planar Brownian Motion por Lawler, Gregory F.; Duke University
10 
Surface Stretching for Ornstein Uhlenbeck Velocity Fields por Carmona, Rene; Princeton University,Grishin, Stanislav; Princeton University,Xu, Lin; Princeton University,Molchanov, Stanislav; University of North Carolina at Charlotte