Regression Models with Time Series Errors
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In models of the form Yt = r(Xt) + Zt, where r is an unknown function and {Xt} is a covariate process independent of the stationary error {Zt}, we give conditions under which estimators based on residuals 1, . . ., n obtained from linear smoothers are asymptotically equivalent to those based on the actual errors Z1, . . ., Zn.