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Bootstrapping Regression Models
Abstract
The regression and correlation models are considered. It is shown that the bootstrap approximation to the distribution of the least squares estimates is valid, and some error bounds are given.
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Citations
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Direct and Indirect Effects: Classical and Bootstrap Estimates of Variability
Bollen, K. A., & Stine, R. (1990) · Sociological Methodology · doi:10.2307/271084 · Cited by 1,305
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“This is a common approach in computer science, especially for machine learning (Bishop 2006: section 1.5; M. J. Kearns 1994:section 1.2), and also can be found in econometrics (White 1980) and statistics (Buja et al. 2018a; Freedman 1981).”
MethodInfluentialOn regression adjustments to experimental data
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Self-citationA review of bootstrap confidence intervals
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Miao, L., Jia, W., Cao, X., & Jiao, L. (2024) · Chemical Society Reviews · doi:10.1039/d2cs01068b · Cited by 241
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Freedman, D. A., Navidi, W., & Peters, S. C. (1988) · Lecture Notes in Economics and Mathematical Systems · doi:10.1007/978-3-642-61564-1_1 · Cited by 51
Self-citationWashington, K. T., Demiris, G., Parker Oliver, D., Albright, D. L., Craig, K. W., & Tatum, P. (2018) · Psycho-Oncology · doi:10.1002/pon.4859 · Cited by 46
Using i.i.d. bootstrap inference for general non-i.i.d. models
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Model-free Study of Ordinary Least Squares Linear Regression
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Metadata
- Authors
- Freedman, D. A.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1981-11-01
- Volume
- 9
- Issue
- 6
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2009067475
- Cited by
- 1,018
- References
- 0
- FWCI
- 7.15
- 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.
