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math.PR2025
Some remarks on Gordin-Lifšic's condition for martingale approximations
Jèrôme Dedecker, Florence Merlevède
In this note, we study a condition introduced by Gordin and Lif{\v s}ic in 1981 to establish the Central Limit Theorem for additive functionals of stationary Markov chains with nor…
math.PR2025
On Berry Esseen type estimates for randomized Martingales in the non stationary setting
J Dedecker, F Merlevède, M Peligrad +1
In this paper, we consider partial sums of triangular martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale…
math.PR2025
On the weak invariance principle for random fields with commuting filtrations under L1-projective criteria
Christophe Cuny, Jérôme Dedecker, Florence Merlevède
We consider a field where arecommuting transformations, one of them at least being ergodic. Considering the case…