Multiple Regression with Integrated Time Series
Recent work on the theory of regression with integrated process is reviewed. This work is particularly relevant in economics where many financial series and macroeconomic time series exhibit nonstationary characteristics and are often well modeled individually as simple ARIMA processes. The theory makes extensive use of weak convergence methods and allows for integrated processes that are driven by quite general weakly dependent and possibly heterogeneously distributed innovations. The theory also includes near integrated time series, which have roots near unity, and cointegrated series, which move together over time but are individually nonstationary. A general framework for asymptotic analysis is given which involves limiting Gaussian functionals and extends the LAN and LAMN families of conventional asymptotic theory. An application to the Gaussian AR(1) is reported.
|Date of creation:||Nov 1987|
|Date of revision:|
|Publication status:||Published in Contemporary Mathematics (1988), 80: 79-105|
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- Campbell, John & Shiller, Robert, 1987.
"Cointegration and Tests of Present Value Models,"
3122490, Harvard University Department of Economics.
- John Y. Campbell & Robert J. Shiller, 1986. "Cointegration and Tests of Present Value Models," NBER Working Papers 1885, National Bureau of Economic Research, Inc.
- John Y. Campbell & Robert J. Shiller, 1986. "Cointegration and Tests of Present Value Models," Cowles Foundation Discussion Papers 785, Cowles Foundation for Research in Economics, Yale University.
- Mankiw, N. Gregory & Campbell, John, 1987.
"Permanent and Transitory Components in Macroeconomic Fluctuations,"
3207697, Harvard University Department of Economics.
- Campbell, John Y & Mankiw, N Gregory, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," American Economic Review, American Economic Association, vol. 77(2), pages 111-17, May.
- John Y. Campbell & N. Gregory Mankiw, 1987. "Permanent and Transitory Components in Macroeconomic Fluctuations," NBER Working Papers 2169, National Bureau of Economic Research, Inc.
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