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Robust Regression: Asymptotics, Conjectures and Monte Carlo
Open accessAbstract
Maximum likelihood type robust estimates of regression are defined and their asymptotic properties are investigated both theoretically and empirically. Perhaps the most important new feature is that the number $p$ of parameters is allowed to increase with the number $n$ of observations. The initial terms of a formal power series expansion (essentially in powers of $p/n$) show an excellent agreement with Monte Carlo results, in most cases down to 4 observations per parameter.
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Cited by
Robust Locally Weighted Regression and Smoothing Scatterplots
Cleveland, W. S. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481038 · Cited by 11,594
Robust regression using iteratively reweighted least-squares.
Holland, P. W., & Welsch, R. E. (1977) · Communications in Statistics - Theory and Methods · doi:10.1080/03610927708827533 · Cited by 2,115
Cyclophosphamide versus placebo in scleroderma lung disease
Tashkin, D. P., Elashoff, R., Clements, P. J., Goldin, J., Roth, M. D., Furst, D. E., Arriola, E., Silver, R., Strange, C., Bolster, M., et al. (2006) · New England Journal of Medicine · doi:10.1056/nejmoa055120 · Cited by 1,677
High Breakdown-Point and High Efficiency Robust Estimates for Regression
Yohai, V. J. (1987) · The Annals of Statistics · doi:10.1214/aos/1176350366 · Cited by 1,644
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Metadata
- Authors
- Huber, P. J.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1973-09-01
- Volume
- 1
- Issue
- 5
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2065742895
- Cited by
- 2,328
- References
- 0
- FWCI
- 9.83
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
