Document Type
Discussion Paper
Publication Date
5-1-2008
CFDP Number
1657
CFDP Pages
25
Abstract
Nonparametric estimation of a structural cointegrating regression model is studied. As in the standard linear cointegrating regression model, the regressor and the dependent variable are jointly dependent and contemporaneously correlated. In nonparametric estimation problems, joint dependence is known to be a major complication that affects identification, induces bias in conventional kernel estimates, and frequently leads to ill-posed inverse problems. In functional cointegrating regressions where the regressor is an integrated time series, it is shown here that inverse and ill-posed inverse problems do not arise. Remarkably, nonparametric kernel estimation of a structural nonparametric cointegrating regression is consistent and the limit distribution theory is mixed normal, giving simple useable asymptotics in practical work. The results provide a convenient basis for inference in structural nonparametric regression with nonstationary time series. The methods may be applied to a wide range of empirical models where functional estimation of cointegrating relations is required.
Recommended Citation
Wang, Qiying and Phillips, Peter C.B., "Structural Nonparametric Cointegrating Regression" (2008). Cowles Foundation Discussion Papers. 1961.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/1961