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The aim of this note is to prove the strong version of the CLT for associated sequences without any strong approximation theorems. In the proofs we only apply the weighted convergence result for av...
For strictly stationary random sequences satisfying the "minimal" dependence condition, necessary and sufficient conditions for the weak convergence to the normal law in terms of slow variation in ...
Stochastic processes are considered within the framework of Holder spaces H: as paths spaces. Using Ciesielski's isomorphisms between H: and sequences spaces via the Faber Schauder tnangular functi...
In this paper we obtain a Functional Central Limit Theorem for the empirical process of a stationary sequence under a new weak dependence condition introduced by Doukhan and Louhichi [5]. This resu...
We generalize the result of Komorowski and Papanicolaou published in [I.W e consider the solution of stochastic differentid equation dX(t) = V(t, x (t)) dt + (t), where E (2) is a standard d-dimens...
In this paper we consider the central limit theorems for functionals G: R"' -, R of one-sided m-dimensional linear processes X, = xr= A, 2,-, , where A, is a nonrandom matrix m x in and 2,'s are i....
We apply the theory of finite difference equations to the central limit theorem, using interpolation of Banach spaces and Fourier multipliers. Let S,T be a normalized sum of i.i.d. random vectors, ...
Some unbounded functions of intermittent maps for which the central limit theorem holds.
The goal of this expository paper is to describe conditions which guarantee a central limit theorem for functionals of general state space Markov chains. This is done with a view towards Markov chain ...
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2
A Central Limit Theorem for non-commutative random variables is proved using the Lindeberg method. The theorem is a generalization of the Central Limit Theorem for free random variables proved by Voic...
Central limit theorems for functionals of general state space Markov chains are of crucial importance in sensible implementation of Markov chain Monte Carlo algorithms as well as of vital theoretical ...
This paper describes an R package implementing large sample tests and confidence intervals (based on the central limit theorem) for various parameters. The one and two sample mean and variance conte...
In this paper, a very useful lemma (in two versions) is proved: it simplifies notably the essential step to establish a Lindeberg central limit theorem for dependent processes. Then, applying this l...

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