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The Review of Economics and Statistics Vol. 81 No. 4 1999

What is Fractional Integration?

William R. Parke

University of North Carolina at Chapel Hill

Abstract

A simple construction that will be referred to as an error-duration model is shown to generate fractional integration and long memory. An error-duration representation also exists for many familiar ARMA models, making error duration an alternative to autoregression for explaining dynamic persistence in economic variables. The results lead to a straightforward procedure for simulating fractional integration and establish a connection between fractional integration and common notions of structural change. Two examples show how the error-duration model could account for fractional integration in aggregate employment and in asset price volatility.

DOI
10.1162/003465399558490
Volume
81
Issue
4
Pages
632-638
Language
en
Sources
openalex crossref

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