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Journal of Statistical Computation and Simulation Volume 13, 1981 - Issue 2
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Original Articles

Numerical methods for the nonlinear robust regression problem

Rudolf Dutter Technical University Graz, Austria
&
Peter J. Huber Harvard University, USA
Pages 79-113 | Received 19 May 1980, Published online: 20 Mar 2007

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Adil M. Bagirov, Sona Taheri, Napsu Karmitsa, Nargiz Sultanova & Soodabeh Asadi. (2022) Robust piecewise linear L1-regression via nonsmooth DC optimization. Optimization Methods and Software 37:4, pages 1289-1309.
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Articles from other publishers (24)

Devon Barrow, Nikolaos Kourentzes, Rickard Sandberg & Jacek Niklewski. (2020) Automatic robust estimation for exponential smoothing: Perspectives from statistics and machine learning. Expert Systems with Applications 160, pages 113637.
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D. Drusvyatskiy & C. Paquette. (2018) Efficiency of minimizing compositions of convex functions and smooth maps. Mathematical Programming 178:1-2, pages 503-558.
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Andreas Schoob, Dennis Kundrat, Lüder A. Kahrs & Tobias Ortmaier. (2017) Stereo vision-based tracking of soft tissue motion with application to online ablation control in laser microsurgery. Medical Image Analysis 40, pages 80-95.
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Yongming Han, Antony Chen, Junji Cao, Kochy Fung, Fai Ho, Beizhan Yan, Changlin Zhan, Suixin Liu, Chong Wei & Zhisheng An. (2013) Thermal/Optical Methods for Elemental Carbon Quantification in Soils and Urban Dusts: Equivalence of Different Analysis Protocols. PLoS ONE 8:12, pages e83462.
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L.-W. A. Chen, J. C. Chow, J. G. Watson & B. A. Schichtel. (2012) Consistency of long-term elemental carbon trends from thermal and optical measurements in the IMPROVE network. Atmospheric Measurement Techniques 5:10, pages 2329-2338.
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L.-W. A. Chen, J. C. Chow, J. G. Watson & B. A. Schichtel. (2012) Consistency of long-term elemental carbon trends from thermal and optical measurements in the IMPROVE network. Atmospheric Measurement Techniques Discussions 5:3, pages 3837-3859.
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J. C. Chow, J. G. Watson, L.-W. A. Chen, J. Rice & N. H. Frank. (2010) Quantification of PM<sub>2.5</sub> organic carbon sampling artifacts in US networks. Atmospheric Chemistry and Physics 10:12, pages 5223-5239.
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Robert F. Harrison & Kitsuchart Pasupa. (2009) A simple iterative algorithm for parsimonious binary kernel Fisher discrimination. Pattern Analysis and Applications 13:1, pages 15-22.
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J. C. Chow, J. G. Watson, L.-W. A. Chen, J. Rice & N. H. Frank. (2009) Quantification of organic carbon sampling artifacts in US non-urban and urban networks. Atmospheric Chemistry and Physics Discussions 9:6, pages 27359-27400.
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THOMAS P. RYAN. 2008. Modern Regression Methods. Modern Regression Methods 488 524 .
Robert F Harrison & Tony J Dodd. (2007) ESTIMATION OF PARSIMONIOUS DISCRETE VOLTERRA SERIES. IFAC Proceedings Volumes 40:12, pages 776-781.
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Kitsuchart Pasupa, Robert F. Harrison & Peter Willett. 2007. Pattern Recognition and Image Analysis. Pattern Recognition and Image Analysis 531 538 .
Hyun Seok Hong & Myung Jin Chung. (2006) Expansion of Hager Belhumeur Inverse Additive Algorithm to Homographies. Expansion of Hager Belhumeur Inverse Additive Algorithm to Homographies.
Ralph Gross, Iain Matthews & Simon Baker. (2006) Active appearance models with occlusion. Image and Vision Computing 24:6, pages 593-604.
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David E. Booth & Kidong Lee. (2003) Robust regression-based analysis of drug–nucleic acid binding. Analytical Biochemistry 319:2, pages 258-262.
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J. Antoch & H. Ekblom. 2003. Developments in Robust Statistics. Developments in Robust Statistics 32 49 .
G.D. Hager & P.N. Belhumeur. (1998) Efficient region tracking with parametric models of geometry and illumination. IEEE Transactions on Pattern Analysis and Machine Intelligence 20:10, pages 1025-1039.
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Mark P Becker, Ilsoon Yang & Kenneth Lange. (2016) EM algorithms without missing data. Statistical Methods in Medical Research 6:1, pages 38-54.
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Jaromír Antoch & Jan Ámos Víšek. 1993. Computational Aspects of Model Choice. Computational Aspects of Model Choice 39 104 .
H.-P. Altenburg. 1992. Computational Statistics. Computational Statistics 367 372 .
H. Ekblom & K. Madsen. 1990. Compstat. Compstat 217 222 .
Håkan Ekblom & Kaj Madsen. (1989) Algorithms for non-linear huber estimation. BIT 29:1, pages 60-76.
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Norbert Stockinger. 1985. Mathematical Statistics and Applications. Mathematical Statistics and Applications 299 309 .
William J. J. ReyWilliam J. J. Rey. 1983. Introduction to Robust and Quasi-Robust Statistical Methods. Introduction to Robust and Quasi-Robust Statistical Methods 207 233 .

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