Linear regression (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Linear regression" in English language version.

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Theil, H. (1950). "A rank-invariant method of linear and polynomial regression analysis. I, II, III". Nederl. Akad. Wetensch., Proc. 53: 386–392, 521–525, 1397–1412. MR 0036489.; Sen, Pranab Kumar (1968). "Estimates of the regression coefficient based on Kendall's tau". Journal of the American Statistical Association. 63 (324): 1379–1389. doi:10.2307/2285891. JSTOR 2285891. MR 0258201..

archive.org

Stigler, Stephen M. (1986). The History of Statistics: The Measurement of Uncertainty before 1900. Cambridge: Harvard. ISBN 0-674-40340-1.

arxiv.org

Efron, Bradley; Hastie, Trevor; Johnstone, Iain; Tibshirani, Robert (2004). "Least Angle Regression". The Annals of Statistics. 32 (2): 407–451. arXiv:math/0406456. doi:10.1214/009053604000000067. JSTOR 3448465. S2CID 204004121.
Tsao, Min (2022). "Group least squares regression for linear models with strongly correlated predictor variables". Annals of the Institute of Statistical Mathematics. 75 (2): 233–250. arXiv:1804.02499. doi:10.1007/s10463-022-00841-7. S2CID 237396158.
Britzger, Daniel (2022). "The Linear Template Fit". Eur. Phys. J. C. 82 (8): 731. arXiv:2112.01548. Bibcode:2022EPJC...82..731B. doi:10.1140/epjc/s10052-022-10581-w. S2CID 244896511.

books.google.com

Rencher, Alvin C.; Christensen, William F. (2012), "Chapter 10, Multivariate regression – Section 10.1, Introduction", Methods of Multivariate Analysis, Wiley Series in Probability and Statistics, vol. 709 (3rd ed.), John Wiley & Sons, p. 19, ISBN 9781118391679.
Yan, Xin (2009), Linear Regression Analysis: Theory and Computing, World Scientific, pp. 1–2, ISBN 9789812834119, Regression analysis ... is probably one of the oldest topics in mathematical statistics dating back to about two hundred years ago. The earliest form of the linear regression was the least squares method, which was published by Legendre in 1805, and by Gauss in 1809 ... Legendre and Gauss both applied the method to the problem of determining, from astronomical observations, the orbits of bodies about the sun.

doi.org

Hilary L. Seal (1967). "The historical development of the Gauss linear model". Biometrika. 54 (1/2): 1–24. doi:10.1093/biomet/54.1-2.1. JSTOR 2333849.
Tibshirani, Robert (1996). "Regression Shrinkage and Selection via the Lasso". Journal of the Royal Statistical Society, Series B. 58 (1): 267–288. doi:10.1111/j.2517-6161.1996.tb02080.x. JSTOR 2346178.
Efron, Bradley; Hastie, Trevor; Johnstone, Iain; Tibshirani, Robert (2004). "Least Angle Regression". The Annals of Statistics. 32 (2): 407–451. arXiv:math/0406456. doi:10.1214/009053604000000067. JSTOR 3448465. S2CID 204004121.
Hawkins, Douglas M. (1973). "On the Investigation of Alternative Regressions by Principal Component Analysis". Journal of the Royal Statistical Society, Series C. 22 (3): 275–286. doi:10.2307/2346776. JSTOR 2346776.
Jolliffe, Ian T. (1982). "A Note on the Use of Principal Components in Regression". Journal of the Royal Statistical Society, Series C. 31 (3): 300–303. doi:10.2307/2348005. JSTOR 2348005.
Williams, Matt; Grajales, Carlos; Kurkiewicz, Dason (2019-11-25). "Assumptions of Multiple Regression: Correcting Two Misconceptions". Practical Assessment, Research, and Evaluation. 18 (1). doi:10.7275/55hn-wk47. ISSN 1531-7714.
Berk, Richard A. (2007). "Regression Analysis: A Constructive Critique". Criminal Justice Review. 32 (3): 301–302. doi:10.1177/0734016807304871. S2CID 145389362.
Hidalgo, Bertha; Goodman, Melody (2012-11-15). "Multivariate or Multivariable Regression?". American Journal of Public Health. 103 (1): 39–40. doi:10.2105/AJPH.2012.300897. ISSN 0090-0036. PMC 3518362. PMID 23153131.
Brillinger, David R. (1977). "The Identification of a Particular Nonlinear Time Series System". Biometrika. 64 (3): 509–515. doi:10.1093/biomet/64.3.509. JSTOR 2345326.
Tsao, Min (2022). "Group least squares regression for linear models with strongly correlated predictor variables". Annals of the Institute of Statistical Mathematics. 75 (2): 233–250. arXiv:1804.02499. doi:10.1007/s10463-022-00841-7. S2CID 237396158.
Galton, Francis (1886). "Regression Towards Mediocrity in Hereditary Stature". The Journal of the Anthropological Institute of Great Britain and Ireland. 15: 246–263. doi:10.2307/2841583. ISSN 0959-5295. JSTOR 2841583.
Britzger, Daniel (2022). "The Linear Template Fit". Eur. Phys. J. C. 82 (8): 731. arXiv:2112.01548. Bibcode:2022EPJC...82..731B. doi:10.1140/epjc/s10052-022-10581-w. S2CID 244896511.
Lange, Kenneth L.; Little, Roderick J. A.; Taylor, Jeremy M. G. (1989). "Robust Statistical Modeling Using the t Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.2307/2290063. JSTOR 2290063.
Swindel, Benee F. (1981). "Geometry of Ridge Regression Illustrated". The American Statistician. 35 (1): 12–15. doi:10.2307/2683577. JSTOR 2683577.
Draper, Norman R.; van Nostrand; R. Craig (1979). "Ridge Regression and James-Stein Estimation: Review and Comments". Technometrics. 21 (4): 451–466. doi:10.2307/1268284. JSTOR 1268284.
Narula, Subhash C.; Wellington, John F. (1982). "The Minimum Sum of Absolute Errors Regression: A State of the Art Survey". International Statistical Review. 50 (3): 317–326. doi:10.2307/1402501. JSTOR 1402501.
Stone, C. J. (1975). "Adaptive maximum likelihood estimators of a location parameter". The Annals of Statistics. 3 (2): 267–284. doi:10.1214/aos/1176343056. JSTOR 2958945.
Goldstein, H. (1986). "Multilevel Mixed Linear Model Analysis Using Iterative Generalized Least Squares". Biometrika. 73 (1): 43–56. doi:10.1093/biomet/73.1.43. JSTOR 2336270.
Theil, H. (1950). "A rank-invariant method of linear and polynomial regression analysis. I, II, III". Nederl. Akad. Wetensch., Proc. 53: 386–392, 521–525, 1397–1412. MR 0036489.; Sen, Pranab Kumar (1968). "Estimates of the regression coefficient based on Kendall's tau". Journal of the American Statistical Association. 63 (324): 1379–1389. doi:10.2307/2285891. JSTOR 2285891. MR 0258201..
Hoek, Gerard; Beelen, Rob; de Hoogh, Kees; Vienneau, Danielle; Gulliver, John; Fischer, Paul; Briggs, David (2008-10-01). "A review of land-use regression models to assess spatial variation of outdoor air pollution". Atmospheric Environment. 42 (33): 7561–7578. Bibcode:2008AtmEn..42.7561H. doi:10.1016/j.atmosenv.2008.05.057. ISSN 1352-2310.
Imai, Chisato; Hashizume, Masahiro (2015). "A Systematic Review of Methodology: Time Series Regression Analysis for Environmental Factors and Infectious Diseases". Tropical Medicine and Health. 43 (1): 1–9. doi:10.2149/tmh.2014-21. hdl:10069/35301. PMID 25859149.
Milionis, A. E.; Davies, T. D. (1994-09-01). "Regression and stochastic models for air pollution—I. Review, comments and suggestions". Atmospheric Environment. 28 (17): 2801–2810. Bibcode:1994AtmEn..28.2801M. doi:10.1016/1352-2310(94)90083-3. ISSN 1352-2310.
Sun, Ruiji; Schiavon, Stefano; Brager, Gail; Arens, Edward; Zhang, Hui; Parkinson, Thomas; Zhang, Chenlu (2024). "Causal Thinking: Uncovering Hidden Assumptions and Interpretations of Statistical Analysis in Building Science". Building and Environment. doi:10.1016/j.buildenv.2024.111530.

dx.doi.org

Milionis, A. E.; Davies, T. D. (1994-09-01). "Regression and stochastic models for air pollution—I. Review, comments and suggestions". Atmospheric Environment. 28 (17): 2801–2810. Bibcode:1994AtmEn..28.2801M. doi:10.1016/1352-2310(94)90083-3. ISSN 1352-2310.

escholarship.org

cloudfront.escholarship.org

Lange, Kenneth L.; Little, Roderick J. A.; Taylor, Jeremy M. G. (1989). "Robust Statistical Modeling Using the t Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.2307/2290063. JSTOR 2290063.

handle.net

hdl.handle.net

Imai, Chisato; Hashizume, Masahiro (2015). "A Systematic Review of Methodology: Time Series Regression Analysis for Environmental Factors and Infectious Diseases". Tropical Medicine and Health. 43 (1): 1–9. doi:10.2149/tmh.2014-21. hdl:10069/35301. PMID 25859149.

harvard.edu

ui.adsabs.harvard.edu

Britzger, Daniel (2022). "The Linear Template Fit". Eur. Phys. J. C. 82 (8): 731. arXiv:2112.01548. Bibcode:2022EPJC...82..731B. doi:10.1140/epjc/s10052-022-10581-w. S2CID 244896511.
Hoek, Gerard; Beelen, Rob; de Hoogh, Kees; Vienneau, Danielle; Gulliver, John; Fischer, Paul; Briggs, David (2008-10-01). "A review of land-use regression models to assess spatial variation of outdoor air pollution". Atmospheric Environment. 42 (33): 7561–7578. Bibcode:2008AtmEn..42.7561H. doi:10.1016/j.atmosenv.2008.05.057. ISSN 1352-2310.
Milionis, A. E.; Davies, T. D. (1994-09-01). "Regression and stochastic models for air pollution—I. Review, comments and suggestions". Atmospheric Environment. 28 (17): 2801–2810. Bibcode:1994AtmEn..28.2801M. doi:10.1016/1352-2310(94)90083-3. ISSN 1352-2310.

jst.go.jp

jstage.jst.go.jp

Imai, Chisato; Hashizume, Masahiro (2015). "A Systematic Review of Methodology: Time Series Regression Analysis for Environmental Factors and Infectious Diseases". Tropical Medicine and Health. 43 (1): 1–9. doi:10.2149/tmh.2014-21. hdl:10069/35301. PMID 25859149.

jstor.org

Hilary L. Seal (1967). "The historical development of the Gauss linear model". Biometrika. 54 (1/2): 1–24. doi:10.1093/biomet/54.1-2.1. JSTOR 2333849.
Tibshirani, Robert (1996). "Regression Shrinkage and Selection via the Lasso". Journal of the Royal Statistical Society, Series B. 58 (1): 267–288. doi:10.1111/j.2517-6161.1996.tb02080.x. JSTOR 2346178.
Efron, Bradley; Hastie, Trevor; Johnstone, Iain; Tibshirani, Robert (2004). "Least Angle Regression". The Annals of Statistics. 32 (2): 407–451. arXiv:math/0406456. doi:10.1214/009053604000000067. JSTOR 3448465. S2CID 204004121.
Hawkins, Douglas M. (1973). "On the Investigation of Alternative Regressions by Principal Component Analysis". Journal of the Royal Statistical Society, Series C. 22 (3): 275–286. doi:10.2307/2346776. JSTOR 2346776.
Jolliffe, Ian T. (1982). "A Note on the Use of Principal Components in Regression". Journal of the Royal Statistical Society, Series C. 31 (3): 300–303. doi:10.2307/2348005. JSTOR 2348005.
Brillinger, David R. (1977). "The Identification of a Particular Nonlinear Time Series System". Biometrika. 64 (3): 509–515. doi:10.1093/biomet/64.3.509. JSTOR 2345326.
Galton, Francis (1886). "Regression Towards Mediocrity in Hereditary Stature". The Journal of the Anthropological Institute of Great Britain and Ireland. 15: 246–263. doi:10.2307/2841583. ISSN 0959-5295. JSTOR 2841583.
Lange, Kenneth L.; Little, Roderick J. A.; Taylor, Jeremy M. G. (1989). "Robust Statistical Modeling Using the t Distribution" (PDF). Journal of the American Statistical Association. 84 (408): 881–896. doi:10.2307/2290063. JSTOR 2290063.
Swindel, Benee F. (1981). "Geometry of Ridge Regression Illustrated". The American Statistician. 35 (1): 12–15. doi:10.2307/2683577. JSTOR 2683577.
Draper, Norman R.; van Nostrand; R. Craig (1979). "Ridge Regression and James-Stein Estimation: Review and Comments". Technometrics. 21 (4): 451–466. doi:10.2307/1268284. JSTOR 1268284.
Hoerl, Arthur E.; Kennard, Robert W.; Hoerl, Roger W. (1985). "Practical Use of Ridge Regression: A Challenge Met". Journal of the Royal Statistical Society, Series C. 34 (2): 114–120. JSTOR 2347363.
Narula, Subhash C.; Wellington, John F. (1982). "The Minimum Sum of Absolute Errors Regression: A State of the Art Survey". International Statistical Review. 50 (3): 317–326. doi:10.2307/1402501. JSTOR 1402501.
Stone, C. J. (1975). "Adaptive maximum likelihood estimators of a location parameter". The Annals of Statistics. 3 (2): 267–284. doi:10.1214/aos/1176343056. JSTOR 2958945.
Goldstein, H. (1986). "Multilevel Mixed Linear Model Analysis Using Iterative Generalized Least Squares". Biometrika. 73 (1): 43–56. doi:10.1093/biomet/73.1.43. JSTOR 2336270.
Theil, H. (1950). "A rank-invariant method of linear and polynomial regression analysis. I, II, III". Nederl. Akad. Wetensch., Proc. 53: 386–392, 521–525, 1397–1412. MR 0036489.; Sen, Pranab Kumar (1968). "Estimates of the regression coefficient based on Kendall's tau". Journal of the American Statistical Association. 63 (324): 1379–1389. doi:10.2307/2285891. JSTOR 2285891. MR 0258201..

nih.gov

pubmed.ncbi.nlm.nih.gov

Hidalgo, Bertha; Goodman, Melody (2012-11-15). "Multivariate or Multivariable Regression?". American Journal of Public Health. 103 (1): 39–40. doi:10.2105/AJPH.2012.300897. ISSN 0090-0036. PMC 3518362. PMID 23153131.
Imai, Chisato; Hashizume, Masahiro (2015). "A Systematic Review of Methodology: Time Series Regression Analysis for Environmental Factors and Infectious Diseases". Tropical Medicine and Health. 43 (1): 1–9. doi:10.2149/tmh.2014-21. hdl:10069/35301. PMID 25859149.

ncbi.nlm.nih.gov

Hidalgo, Bertha; Goodman, Melody (2012-11-15). "Multivariate or Multivariable Regression?". American Journal of Public Health. 103 (1): 39–40. doi:10.2105/AJPH.2012.300897. ISSN 0090-0036. PMC 3518362. PMID 23153131.

pitt.edu

people.cs.pitt.edu

"Linear Regression (Machine Learning)" (PDF). University of Pittsburgh.

sciencedirect.com

Hoek, Gerard; Beelen, Rob; de Hoogh, Kees; Vienneau, Danielle; Gulliver, John; Fischer, Paul; Briggs, David (2008-10-01). "A review of land-use regression models to assess spatial variation of outdoor air pollution". Atmospheric Environment. 42 (33): 7561–7578. Bibcode:2008AtmEn..42.7561H. doi:10.1016/j.atmosenv.2008.05.057. ISSN 1352-2310.

semanticscholar.org

api.semanticscholar.org

Efron, Bradley; Hastie, Trevor; Johnstone, Iain; Tibshirani, Robert (2004). "Least Angle Regression". The Annals of Statistics. 32 (2): 407–451. arXiv:math/0406456. doi:10.1214/009053604000000067. JSTOR 3448465. S2CID 204004121.
Berk, Richard A. (2007). "Regression Analysis: A Constructive Critique". Criminal Justice Review. 32 (3): 301–302. doi:10.1177/0734016807304871. S2CID 145389362.
Tsao, Min (2022). "Group least squares regression for linear models with strongly correlated predictor variables". Annals of the Institute of Statistical Mathematics. 75 (2): 233–250. arXiv:1804.02499. doi:10.1007/s10463-022-00841-7. S2CID 237396158.
Britzger, Daniel (2022). "The Linear Template Fit". Eur. Phys. J. C. 82 (8): 731. arXiv:2112.01548. Bibcode:2022EPJC...82..731B. doi:10.1140/epjc/s10052-022-10581-w. S2CID 244896511.

umass.edu

scholarworks.umass.edu

Williams, Matt; Grajales, Carlos; Kurkiewicz, Dason (2019-11-25). "Assumptions of Multiple Regression: Correcting Two Misconceptions". Practical Assessment, Research, and Evaluation. 18 (1). doi:10.7275/55hn-wk47. ISSN 1531-7714.

worldcat.org

Williams, Matt; Grajales, Carlos; Kurkiewicz, Dason (2019-11-25). "Assumptions of Multiple Regression: Correcting Two Misconceptions". Practical Assessment, Research, and Evaluation. 18 (1). doi:10.7275/55hn-wk47. ISSN 1531-7714.
Hidalgo, Bertha; Goodman, Melody (2012-11-15). "Multivariate or Multivariable Regression?". American Journal of Public Health. 103 (1): 39–40. doi:10.2105/AJPH.2012.300897. ISSN 0090-0036. PMC 3518362. PMID 23153131.
Galton, Francis (1886). "Regression Towards Mediocrity in Hereditary Stature". The Journal of the Anthropological Institute of Great Britain and Ireland. 15: 246–263. doi:10.2307/2841583. ISSN 0959-5295. JSTOR 2841583.
Hoek, Gerard; Beelen, Rob; de Hoogh, Kees; Vienneau, Danielle; Gulliver, John; Fischer, Paul; Briggs, David (2008-10-01). "A review of land-use regression models to assess spatial variation of outdoor air pollution". Atmospheric Environment. 42 (33): 7561–7578. Bibcode:2008AtmEn..42.7561H. doi:10.1016/j.atmosenv.2008.05.057. ISSN 1352-2310.
Milionis, A. E.; Davies, T. D. (1994-09-01). "Regression and stochastic models for air pollution—I. Review, comments and suggestions". Atmospheric Environment. 28 (17): 2801–2810. Bibcode:1994AtmEn..28.2801M. doi:10.1016/1352-2310(94)90083-3. ISSN 1352-2310.