Linton, Oliver, Kim, W and Hengartner, N (1999) A computationally efficient oracle estimator for additive nonparametric regression with boot-strap confidence intervals. Journal of computational and graphical statistics, 8 (2). pp. 278-297. ISSN 1061-8600
Abstract
This article makes three contributions. First, we introduce a computationally efficient estimator for the component functions in additive nonparametric regression exploiting a different motivation from the marginal integration estimator of Linton and Nielsen. Our method provides a reduction in computation of order n which is highly significant in practice. Second, we define an efficient estimator of the additive components, by inserting the preliminary estimator into a backfitting˙ algorithm but taking one step only, and establish that it is equivalent, in various senses, to the oracle estimator based on knowing the other components. Our two-step estimator is minimax superior to that considered in Opsomer and Ruppert, due to its better bias. Third, we define a bootstrap algorithm for computing pointwise confidence intervals and show that it achieves the correct coverage.
| Item Type: | Article |
|---|---|
| Official URL: | http://amstat.tandfonline.com/loi/jcgs/ |
| Additional Information: | © 1999 American Statistical Association |
| Uncontrolled Keywords: | instrumental variables, kernel estimation, marginal integration |
| Library of Congress subject classification: | H Social Sciences > HB Economic Theory |
| Journal of Economic Literature Classification System: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation |
| Sets: | Departments > Economics Collections > Economists Online |
| Rights: | http://www.lse.ac.uk/library/rights/LSERO.htm |
| URL: | http://eprints.lse.ac.uk/1270/ |
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