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Large Deviation Principles for Moving Average Processes of Real Stationary Sequences

Large Deviation Principles for Moving Average Processes of Real Stationary Sequences Let X k =∑ i=−∞ ∞ a i ξ k−i ,k≥1, be the moving average processes, where (ξ i ) i∈ℤ is a sequence of real stationary random variables. Under the assumptions that the large deviation principle (LDP) for real stationary sequence holds, LDP for the moving average processes of real stationary sequence is established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

Large Deviation Principles for Moving Average Processes of Real Stationary Sequences

Acta Applicandae Mathematicae , Volume 106 (2) – Aug 12, 2008

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References (15)

Publisher
Springer Journals
Copyright
Copyright © 2008 by Springer Science+Business Media B.V.
Subject
Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/s10440-008-9288-1
Publisher site
See Article on Publisher Site

Abstract

Let X k =∑ i=−∞ ∞ a i ξ k−i ,k≥1, be the moving average processes, where (ξ i ) i∈ℤ is a sequence of real stationary random variables. Under the assumptions that the large deviation principle (LDP) for real stationary sequence holds, LDP for the moving average processes of real stationary sequence is established.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: Aug 12, 2008

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