International Journal of Stochastic Analysis

International Journal of Stochastic Analysis / 2001 / Article

Open Access

Volume 14 |Article ID 780430 | https://doi.org/10.1155/S1048953301000041

N. N. Leonenko, V. V. Anh, "Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence", International Journal of Stochastic Analysis, vol. 14, Article ID 780430, 20 pages, 2001. https://doi.org/10.1155/S1048953301000041

Rate of convergence to the Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence

Received01 Oct 1999
Revised01 Oct 2000

Abstract

This paper establishes the rate of convergence (in the uniform Kolmogorov distance) for normalized additive functionals of stochastic processes with long-range dependence to a limiting Rosenblatt distribution.

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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