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09/11/2023
Self-normalized Cramér type moderate deviations for martingales and applications
Cramér's moderate deviations give a quantitative estimate for the relati...
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07/03/2023
Wasserstein-1 distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment
Let (Z_n)_n≥ 0 be a supercritical branching process in an independent an...
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06/28/2023
Sharp moderate and large deviations for sample quantiles
In this article, we discuss the sharp moderate and large deviations betw...
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05/19/2022
Comparison on the criticality parameters for two supercritical branching processes in random environments
Let {Z_1,n , n≥ 0} and {Z_2,n, n≥ 0} be two supercritical branching proc...
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04/06/2022
Cramér's moderate deviations for martingales with applications
Let (ξ_i,ℱ_i)_i≥1 be a sequence of martingale differences. Set X_n=∑_i=1...
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09/25/2021
Cramér moderate deviations for a supercritical Galton-Watson process
Let (Z_n)_n≥0 be a supercritical Galton-Watson process. The Lotka-Nagaev...
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07/16/2021
Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process
Let (Z_n)_n≥0 be a supercritical Galton-Watson process. Consider the Lot...
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02/17/2021
Deviation inequalities for stochastic approximation by averaging
We introduce a class of Markov chains, that contains the model of stocha...
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12/05/2019
Spatial-Frequency Domain Nonlocal Total Variation for Image Denoising
Following the pioneering works of Rudin, Osher and Fatemi on total varia...
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07/03/2019
Deviation inequalities for separately Lipschitz functionals of composition of random functions
We consider a class of non-homogeneous Markov chains, that contains many...
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08/27/2018