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Social and Behavioral Sciences Commons

Open Access. Powered by Scholars. Published by Universities.®

1988

Yale University

Nonparametric regression

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Full-Text Articles in Social and Behavioral Sciences

The Macroeconomics Of Government Finance, Michael Haliassos, James Tobin Oct 1988

The Macroeconomics Of Government Finance, Michael Haliassos, James Tobin

Cowles Foundation Discussion Papers

This paper establishes the asymptotic normality of series estimators for nonparametric regression models. Gallant’s Fourier flexible form estimators, trigonometric series estimators, and polynomial series estimators are prime examples of the estimators covered by the results. The results apply to a wide variety of estimands in the regression model under consideration, including derivatives and integrals of the regression function. The errors in the model may be homoskedastic or heteroskeclastic. The paper also considers series estimators for additive interactive regression (AIR), seimparametric regression, and semiparametric index regression models and shows them to be consistent and asymptotically normal. All of the consistency and …


Asymptotic Normality Of Series Estimators For Nonparametric And Semiparametric Regression Models, Donald W.K. Andrews May 1988

Asymptotic Normality Of Series Estimators For Nonparametric And Semiparametric Regression Models, Donald W.K. Andrews

Cowles Foundation Discussion Papers

This paper establishes the asymptotic normality of series estimators for nonparametric regression models. Gallant’s Fourier flexible form estimators, trigonometric series estimators, and polynomial series estimators are prime examples of the estimators covered by the results. The results apply to a wide variety of estimands in the regression model under consideration, including derivatives and integrals of the regression function. The errors in the model may be homoskedastic or heteroskeclastic. The paper also considers series estimators for additive interactive regression (AIR), seimparametric regression, and semiparametric index regression models and shows them to be consistent and asymptotically normal. All of the consistency and …