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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Abstract
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.
| Item Type: | Article |
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| Official URL: | http://uk.cambridge.org/journals/ect/ |
| Additional Information: | Copyright © 2001 Cambridge University Press. LSE has developed LSE Research Online so that users may access research output of the School. Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Users may download and/or print one copy of any article(s) in LSE Research Online to facilitate their private study or for non-commercial research. You may not engage in further distribution of the material or use it for any profit-making activities or any commercial gain. You may freely distribute the URL (http://eprints.lse.ac.uk) of the LSE Research Online website. |
| Divisions: | Financial Markets Group STICERD Economics |
| Subjects: | H Social Sciences > HA Statistics |
| Date Deposited: | 17 Feb 2008 |
| Last Modified: | 10 Apr 2024 23:48 |
| URI: | http://eprints.lse.ac.uk/id/eprint/317 |
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