What Is Fractional Integration?

William R. Parke

The Review of Economics and Statistics, 1999, vol. 81, issue 4, 632-638

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. © 2000 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Date: 1999
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