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Bandwidth Choice for Nonparametric Regression
Open accessAbstract
This paper is concerned with the problem of choosing a bandwidth parameter for nonparametric regression. We analyze a tapered Fourier series estimate and discuss the relationship of this estimate to a kernel estimate. We first consider a method based on an unbiased estimate of mean square error, and show that the bandwidth thus chosen is asymptotically optimal. Other methods are examined as well and are shown to be asymptotically equivalent. A small simulation shows, however, that for small or moderate sample size, the methods perform quite differently.
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Cites
Craven, P., & Wahba, G. (1978) · Numerische Mathematik · doi:10.1007/bf01404567 · Cited by 3,388
Cited by
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How Far are Automatically Chosen Regression Smoothing Parameters from their Optimum?
Härdle, W., Hall, P., & Marron, J. S. (1988) · Journal of the American Statistical Association · doi:10.1080/01621459.1988.10478568 · Cited by 401
Chapter 38 Applied nonparametric methods
Härdle, W., & Linton, O. (1994) · Handbook of Econometrics · doi:10.1016/s1573-4412(05)80007-8 · Cited by 325
Semiparametric estimation of a hedonic price function
Anglin, P. M., & Gençay, R. (1996) · Journal of Applied Econometrics · doi:10.1002/(sici)1099-1255(199611)11:6<633::aid-jae414>3.0.co;2-t · Cited by 222
Theoretical and experimental analysis links isoform-specific ERK signalling to cell fate decisions
Schilling, M., Maiwald, T., Hengl, S., Winter, D., Kreutz, C., Kolch, W., Lehmann, W. D., Timmer, J., & Klingmüller, U. (2009) · Molecular Systems Biology · doi:10.1038/msb.2009.91 · Cited by 79
Metadata
- Authors
- Rice, J.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1984-12-01
- Volume
- 12
- Issue
- 4
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W1976834773
- Cited by
- 684
- References
- 1
- FWCI
- 10.91
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Rice, J. (1984). Bandwidth Choice for Nonparametric Regression. The Annals of Statistics. https://doi.org/10.1214/aos/1176346788
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.