Weak dependence: models and applications to econometrics

PA Nze, P Doukhan - Econometric Theory, 2004 - cambridge.org
… In this paper we discuss weak dependence and mixing properties of some popular
models+ We also develop some of their econometric applications+ Autoregressive models, …

[HTML][HTML] A new weak dependence condition and applications to moment inequalities

P Doukhan, S Louhichi - Stochastic processes and their applications, 1999 - Elsevier
… The purpose of this paper is to propose a unifying weak dependence condition. Mixing
sequences, functions of associated or Gaussian sequences, Bernoulli shifts as well as models …

Central limit theorems under weak dependence

RC Bradley Jr - Journal of Multivariate Analysis, 1981 - Elsevier
This article is motivated by a central limit theorem of Ibragimov for strictly stationary random
sequences satisfying a mixing condition based on maximal correlations. Here we show that …

Weak dependence, models and some applications

P Doukhan, N Mayo, L Truquet - Metrika, 2009 - Springer
… (Weak dependence, examples and applications. Lecture … We develop here several models
of weakly dependent pro… new asymptotic results for weakly dependent random fields. Such …

An exponential inequality under weak dependence

RS Kallabis, MH Neumann - Bernoulli, 2006 - projecteuclid.org
Doukhan and Louhichi introduced a covariance-based concept of weak dependence which
is more general than classical mixing concepts. We prove a Bernstein-type inequality under …

Functional estimation of a density under a new weak dependence condition

P Doukhan, S Louhichi - Scandinavian Journal of Statistics, 2001 - Wiley Online Library
… This paper makes use of a new weak dependence condition for … of dependent rvs (see for
example Eberlein & Taqqu (1986)). We also note that a similar approach of weak dependence, …

Empirical likelihood methods with weakly dependent processes

Y Kitamura - The Annals of Statistics, 1997 - projecteuclid.org
… This paper studies the method of empirical likelihood in models with weakly dependent
weakly dependent processes; in particular, Ä 4 we consider the following form of dependence

Optimal uniform convergence rates and asymptotic normality for series estimators under weak dependence and weak conditions

X Chen, TM Christensen - Journal of Econometrics, 2015 - Elsevier
… series regression estimators for weakly dependent regressors attain the … weak conditions.
The results are proved by deriving a new exponential inequality for sums of weakly dependent

Weak dependence notions and their mutual relationships

J Navarro, F Pellerey, MA Sordo - Mathematics, 2020 - mdpi.com
… “weak” in the sense that they do not imply the P Q D property, which is a necessary condition
for a property to be considered a “dependence … them as “weak dependence notions”. Note …

[PDF][PDF] A Review on some weak dependence conditions

B Bobbia, P Doukhan, X Fan - 2022 - hal.science
… We present some moment and probability inequalities for weak dependence sequences. In
this section, let (Xi)i∈Z be a sequence of centered real valued random variables, and let Sn …