The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Splines in Statistics
Abstract
This is a survey article that attempts to synthesize a broad variety of work on splines in statistics. Splines are presented as a nonparametric function estimating technique. After a general introduction to the theory of interpolating and smoothing splines, splines are treated in the nonparametric regression setting. The method of cross-validation for choosing the smoothing parameter is discussed and the general multivariate regression/surface estimation problem is addressed. An extensive discussion of splines as nonparametric density estimators is followed by a discussion of their role in time series analysis. A comparison of the spline and isotonic regression methodologies leads to a formulation of a hybrid estimator. The closing section provides a brief overall summary and formulates a number of open/unsolved problems relating to splines in statistics.
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Cites
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228
Craven, P., & Wahba, G. (1978) · Numerische Mathematik · doi:10.1007/bf01404567 · Cited by 3,388
Cited by
Some aspects of the spline smoothing approach to non-parametric regression curve fitting
Silverman, B. W. (1985) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1985.tb01327.x · Cited by 1,117
Association of IGF-I levels with muscle strength and mobility in older women
Cappola, A. R., Bandeen-Roche, K., Wand, G. S., Volpato, S., & Fried, L. P. (2001) · The Journal of Clinical Endocrinology & Metabolism · doi:10.1210/jcem.86.9.7868 · Cited by 205
Hormonal control of substrate cycling in humans.
Miyoshi, H., Shulman, G. I., Peters, E. J., Wolfe, M. H., Elahi, D., & Wolfe, R. R. (1988) · Journal of Clinical Investigation · doi:10.1172/jci113487 · Cited by 139
Horowitz, J. F., & Klein, S. (2000) · American Journal of Physiology-Endocrinology and Metabolism · doi:10.1152/ajpendo.2000.278.6.e1144 · Cited by 138
Metadata
- Authors
- Wegman, E. J., & Wright, I. W.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1983-06
- Volume
- 78
- Issue
- 382
- Pages
- 351-365
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2092015529
- Cited by
- 332
- References
- 2
- FWCI
- 10.22
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
