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Martingale Limit Theory and Its Application

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The article was published on 2014-09-23 and is currently open access. It has received 3075 citations till now. The article focuses on the topics: Local martingale & Doob's martingale inequality.

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Théorèmes limites avec poids pour les martingales vectorielles

TL;DR: In this paper, the authors give limit theorems specifying weak and strong rates of convergence associated to a quadratic extension of the martingale almost-sure central limit theorem.
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A heteroskedasticity robust Breusch–Pagan test for Contemporaneous correlation in dynamic panel data models

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Sieve inference on possibly misspecified semi-nonparametric time series models

TL;DR: In this paper, the authors established the asymptotic normality of plug-in sieve M estimators of possibly irregular functionals of semi-nonparametric time series models.
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TL;DR: In this article, the authors study the functional estimation of the space-dependent diffusion coefficient in a one-dimensional framework, where the sample path is observed at discrete times and the minimax rate of convergence is the usual n − s/(1+2s).