Zobrazeno 1 - 10
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pro vyhledávání: '"Merlevede A"'
In this paper, we consider partial sums of martingale differences weighted by random variables drawn uniformly on the sphere, and globally independent of the martingale differences. Combining Lindeberg's method and a series of arguments due to Bobkov
Externí odkaz:
http://arxiv.org/abs/2402.05632
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leaves, therefore our result covers in particular slowly mixing invertible
Externí odkaz:
http://arxiv.org/abs/2307.12714
In this paper, we give precise rates of convergence in the strong invariance principle for stationary sequences of bounded real-valued random variables satisfying weak dependence conditions. One of the main ingredients is a new Fuk-Nagaev type inequa
Externí odkaz:
http://arxiv.org/abs/2307.02255
We give rates of convergence in the almost sure invariance principle for sums of dependent random variables with semi exponential tails, whose coupling coefficients decrease at a subexponential rate. We show that the rates in the strong invariance pr
Externí odkaz:
http://arxiv.org/abs/2305.13001
In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of this model is that the step sizes form a sequence of positive independent and identically distributed
Externí odkaz:
http://arxiv.org/abs/2302.06311
Autor:
Dedecker, Jérôme, Merlevède, Florence
Publikováno v:
Statistics and Probability Letters, 2021, 171, pp.108991
We prove a strong invariance principle for the Kantorovich distance between the empiricaldistribution and the marginal distribution of stationary $\alpha$-mixing sequences.
Externí odkaz:
http://arxiv.org/abs/2301.05512
We study stochastic properties of the norm cocycle associated with iid products of positive matrices. We obtain the almost sure invariance principle (ASIP) with rate o(n 1/p) under the optimal condition of a moment or order p > 2 and the Berry-Esseen
Externí odkaz:
http://arxiv.org/abs/2301.02100
In this paper, we give estimates of the quadratic transportation cost in the conditional central limit theorem for a large class of dependent sequences. Applications to irreducible Markov chains, dynamical systems generated by intermittent maps and $
Externí odkaz:
http://arxiv.org/abs/2212.04287
Let $A_n= \varepsilon_n \cdots \varepsilon_1$, where $(\varepsilon_n)_{n \geq 1}$ is a sequence of independent random matrices taking values in $ GL_d(\mathbb R)$, $d \geq 2$, with common distribution $\mu$. In this paper, under standard assumptions
Externí odkaz:
http://arxiv.org/abs/2211.00998
Autor:
Cédric De Landsheer, Valentien Merlevede, Celine Jacobs, Jo Van Dorpe, Julie De Zaeytijd, Virginie G.S. Ninclaus, Dimitri Roels
Publikováno v:
Case Reports in Ophthalmology, Vol 15, Iss 1, Pp 212-219 (2024)
Introduction: This case report demonstrates the possibility of successful eye and vision-sparing therapy for caruncular melanoma. Case Presentation: We present an atypical presentation of a caruncular melanoma. After excisional biopsy, residual flat
Externí odkaz:
https://doaj.org/article/28ad9b59d1fc4a5a8b1b8bcb60802d16