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What Is Fractional Integration?

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  • William R. Parke

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

Suggested Citation

  • William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November.
  • Handle: RePEc:tpr:restat:v:81:y:1999:i:4:p:632-638
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