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A Note on Autoregressive Modeling

Published online by Cambridge University Press:  11 February 2009

D.S. Poskitt
D.S. Poskitt
Affiliation:
Australian National University
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Abstract

This paper addresses the problem of estimating vector autoregressive models. An approach to handling nonstationary (integrated) time series is briefly discussed, but the main emphasis is upon the estimation of autoregressive approximations to stationary processes. Three alternative estimators are considered–the Yule-Walker, least-squares, and Burg-type estimates–and a complete analysis of their asymptotic properties in the stationary case is given. The results obtained, when placed together with those found elsewhere in the literature, lead to the direct recommendation that the less familiar Burg-type estimator should be used in practice when modeling stationary series. This is particularly so when the underlying objective of the analysis is to investigate the interrelationships between variables of interest via impulse response functions and dynamic multipliers.

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Type
Articles
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Econometric Theory , Volume 10 , Issue 5 , December 1994 , pp. 884 - 899
Copyright
Copyright © Cambridge University Press 1994

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