AbstractIn this paper, a uniform estimate is obtained for the rate of convergence in the central limit theorem for the weighted sum of random variables related by a homogeneous Markov chain, without assuming that the transition probability function has a finite third absolute moment. Some consequences are also proved
AbstractLet (Xj, j ≥ 1) be a strictly stationary sequence of uniformly mixing random variables with ...
AbstractCentral limit theorems are proved for Markov chains on the nonnegative integers that are hom...
AbstractAn interesting recent result of Landers and Roggé (1977, Ann. Probability 5, 595–600) is inv...
s | be independent and identically distributed random variables with zero mean, unit variance and fi...
This article presents a new proof of the rate of convergence to the normal distribution of sums of i...
Let (Xi)i=0∞ be a V-uniformly ergodic Markov chain on a general state space, and let π be its statio...
A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent rando...
Theorems which give more exact statements about convergence to the normal law in the case of homogen...
New improved rates of convergence for ergodic homogeneous Markov chains are studied. Examples of com...
We consider symmetric Markov chains on the integer lattice that possibly have arbitrarily large jump...
AbstractA uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain ...
AbstractLet X̄ denote the mean of a consecutive sequence of length n from an autoregression or movin...
International audienceLet Q be a transition probability on a measurable space E which admits an inva...
In this paper, we give rates of convergence, for minimal distances and for the uniform distance, bet...
Let F_n(x) denote the distribution of the normalized partial sum of independent random variables wit...
AbstractLet (Xj, j ≥ 1) be a strictly stationary sequence of uniformly mixing random variables with ...
AbstractCentral limit theorems are proved for Markov chains on the nonnegative integers that are hom...
AbstractAn interesting recent result of Landers and Roggé (1977, Ann. Probability 5, 595–600) is inv...
s | be independent and identically distributed random variables with zero mean, unit variance and fi...
This article presents a new proof of the rate of convergence to the normal distribution of sums of i...
Let (Xi)i=0∞ be a V-uniformly ergodic Markov chain on a general state space, and let π be its statio...
A non-uniform estimate of the rate of convergence in the central limit theorem for m-dependent rando...
Theorems which give more exact statements about convergence to the normal law in the case of homogen...
New improved rates of convergence for ergodic homogeneous Markov chains are studied. Examples of com...
We consider symmetric Markov chains on the integer lattice that possibly have arbitrarily large jump...
AbstractA uniform estimate of the rate of convergence in the central limit theorem (CLT) in certain ...
AbstractLet X̄ denote the mean of a consecutive sequence of length n from an autoregression or movin...
International audienceLet Q be a transition probability on a measurable space E which admits an inva...
In this paper, we give rates of convergence, for minimal distances and for the uniform distance, bet...
Let F_n(x) denote the distribution of the normalized partial sum of independent random variables wit...
AbstractLet (Xj, j ≥ 1) be a strictly stationary sequence of uniformly mixing random variables with ...
AbstractCentral limit theorems are proved for Markov chains on the nonnegative integers that are hom...
AbstractAn interesting recent result of Landers and Roggé (1977, Ann. Probability 5, 595–600) is inv...
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