ROBUST REGRESSION: COMPUTATIONAL METHODS FOR M-ESTIMATES

The computation of robust M-estimates of regression is considered in detail using the Psi functions of Huber, Andrews, and Hampel. The computation of M-estimates of regression is considered for linear models, linear models with vector observations, and nonlinear models. Examples are given using actual data for each of these different classes of models. Examples are given using actual data for each of these different classes of models. Careful attention is given to the important problem of convergence of M-estimates with redescending Psi functions. A lengthy treatment of this problem is given for the Daniel and Wood data by considering several starting methods for the iterative solution and different breakpoints for the Psi functions. (Author)

• Corporate Authors:

  National Range Operations Directorate

  White Sands Missile Range
  White Sands, NM  United States 
• Authors:
  • Agee, W S
  • Turner, R H
• Publication Date: 1978-6

Media Info

• Pagination: 54 p.

Subject/Index Terms

• TRT Terms: Calculation; Data reduction; Estimates; Highway traffic control; Iterative methods; Least squares method; Linear systems; Regression analysis
• Uncontrolled Terms: Computation
• Subject Areas: Data and Information Technology; Finance; Operations and Traffic Management;

Filing Info

• Accession Number: 00181363
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: ACD-TR-66
• Files: NTIS
• Created Date: Oct 12 2002 12:00AM