A uniform estimate for the rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains

In this paper a uniform estimate is obtained for the remainder term in the central limit theorem (CLT) for a sequence of random vectors forming a homogeneous Markov chain with arbitrary set of states. The result makes it possible to estimate the rate of convergence in the CLT without assuming the fi...

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Bibliographic Details
Main Author: M. Gharib
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000634