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Second-order approximation for adaptive regression estimators

Linton, Oliver and Xiao, Zhijie (2001) Second-order approximation for adaptive regression estimators. Econometric Theory, 17 (5). pp. 984-1024. ISSN 0266-4666

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Identification Number: 10.1017/S0266466601175067


We derive asymptotic expansions for semiparametric adaptive regression estimators. In particular, we derive the asymptotic distribution of the second-order effect of an adaptive estimator in a linear regression whose error density is of unknown functional form. We then show how the choice of smoothing parameters influences the estimator through higher order terms. A method of bandwidth selection is defined by minimizing the second-order mean squared error. We examine both independent and time series regressors; we also extend our results to a t-statistic. Monte Carlo simulations confirm the second order theory and the usefulness of the bandwidth selection method.

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Divisions: Financial Markets Group
Subjects: H Social Sciences > HA Statistics
Sets: Research centres and groups > Financial Markets Group (FMG)
Collections > Economists Online
Research centres and groups > Suntory and Toyota International Centres for Economics and Related Disciplines (STICERD)
Departments > Economics
Date Deposited: 17 Feb 2008
Last Modified: 20 Feb 2021 03:31

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