#### Filter Results:

- Full text PDF available (28)

#### Publication Year

2004

2018

- This year (1)
- Last 5 years (15)
- Last 10 years (23)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Jérôme Dedecker
- 2006

We give a sufficient condition for a stationary sequence of squareintegrable and real-valued random variables to satisfy a Donsker-type invariance principle. This condition is similar to the… (More)

- Jérôme Dedecker
- 2006

We establish new exponential inequalities for partial sums of random fields. Next, using classical chaining arguments, we give sufficient conditions for partial sum processes indexed by large classes… (More)

- Jérôme Dedecker, Sébastien Gouëzel, Florence Merlevede
- 2009

We consider a large class of piecewise expanding maps T of [0, 1] with a neutral fixed point, and their associated Markov chain Yi whose transition kernel is the PerronFrobenius operator of T with… (More)

In this paper, we give estimates of the minimal L distance between the distribution of the normalized partial sum and the limiting Gaussian distribution for stationary sequences satisfying projective… (More)

- Jérôme Dedecker, Florence Merlevède, E. García del Río
- 2007

Let X1, X2, . . . be a strictly stationary sequence of real-valued random variables (r.v.) with mean zero and finite variance. Set Sn = X1 +X2 + · · ·+Xn. By Pn−1/2Sn we denote the law of n−1/2Sn and… (More)

Recently, [4] have dened a distance function to measures to answer geometric inference problems in a probabilistic setting. According to their result, the topological properties of a shape can be… (More)

- Jérôme Dedecker, Florence Merlevède, E. García del Río, Université Paris Descartes
- 2013

We prove a strong approximation result with rates for the empirical process associated to an absolutely regular stationary sequence of random variables with values in R. As soon as the absolute… (More)

- Jérôme Dedecker, S. Gouëzel, F. Merlevède
- 2011

Abstract. We consider two classes of piecewise expanding maps T of [0, 1]: a class of uniformly expanding maps for which the Perron-Frobenius operator has a spectral gap in the space of bounded… (More)

- Jérôme Dedecker, Sébastien Gouëzel
- 2017

We prove that an irreducible aperiodic Markov chain is geometrically ergodic if and only if any separately bounded functional of the stationary chain satisfies an appropriate subgaussian deviation… (More)

- Jérôme Dedecker, Florence Merlevède, Magda Peligrad, Sergey Utev
- 2008

In this paper we are concerned with the moderate deviation principle for the normalized partial sums process Wn, considered as an element of D([0, 1]) (functions on [0, 1] with left-hand limits and… (More)