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On the maximal entropy property for ARMA processes and ARMA approximation

Published online by Cambridge University Press:  01 July 2016

Dawei Huang
Dawei Huang*
Affiliation:
Peking University
*
∗Present address: School of Mathematics, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia.
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Abstract

The existence and properties of a general ARMA (p, q) process, whose autocovariances, up to lag p, and impulse coefficients, up to lag q, coincide with some given values, are shown. A closed-form solution is obtained. Based on this, the maximal entropy property for ARMA process and the relation and difference between ARMA maximal entropy approximation and extended Padé approximation are discussed. This method may be used for the design of digital filters and for ARMA spectral estimation.

Keywords

MAXIMAL ENTROPY PROPERTYARMA PROCESSARMA APPROXIMATIONZERO LOCATION OF POLYNOMIAL
Type
Research Article
Information
Advances in Applied Probability , Volume 22 , Issue 3 , September 1990 , pp. 612 - 626
Copyright
Copyright © Applied Probability Trust 1990 

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Footnotes

This paper was written during the author's visit to the Department of Statistics, Research School of Social Sciences, Australian National University, and was revised in the School of Mathematics, Queensland University of Technology.

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