REGRESSION FORMULATION OF THE MATRIX ESTIMATION PROBLEM

This paper formulates a quadratic programming method to estimate matrix entry estimates as an equivalent constrained generalized least squares estimation problem. As well as being able to include any available information in the form of constraints, the variance-covariance matrix of the entry estimates may be found and confidence intervals calculated for matrix entry estimates with some added distributional assumptions. The problem of updating the proportions of nationwide automobile trips by purpose and trip length from 1970 to 1977 is included as a simple example to illustrate the method.

• Availability:
  • Find a library where document is available. Order URL: https://www.library.northwestern.edu/find-borrow-request/requests-interlibrary-loan/lending-institutions.html
• Authors:
  • McNeil, S
  • Hendrickson, C
• Publication Date: 1985-8

Media Info

• Features: References;
• Pagination: p. 278-292
• Serial:
  • Transportation Science
  • Volume: 19
  • Issue Number: 3
  • Publisher: Institute for Operations Research and the Management Sciences (INFORMS)
  • ISSN: 0041-1655
  • Serial URL: http://transci.journal.informs.org/

Subject/Index Terms

• TRT Terms: Estimating; Least squares method; Matrices (Mathematics); Regression analysis; Trip length; Trip purpose
• Subject Areas: Data and Information Technology; Highways; Planning and Forecasting; I72: Traffic and Transport Planning;

Filing Info

• Accession Number: 00458025
• Record Type: Publication
• Source Agency: Engineering Information, Incorporated
• Files: TRIS
• Created Date: Sep 30 1986 12:00AM