A Regression Formulation of the Matrix Estimation Problem

Sue McNeil and Chris Hendrickson
Additional contact information
Sue McNeil: Princeton University, Princeton, New Jersey
Chris Hendrickson: Carnegie-Mellon University, Pittsburgh, Pennsylvania

Transportation Science, 1985, vol. 19, issue 3, 278-292

Abstract: Matrices are widely used in transportation planning to represent the distribution of characteristics or as origin-destination matrices. Developing such matrices by means of surveys is expensive and time consuming, and once the survey data are collected and compiled the matrices are rapidly outdated. Other methods which are commonly used are unable to include all available data or to provide a measure of the uncertainty of the estimates. 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.

Date: 1985
References: Add references at CitEc
Citations: View citations in EconPapers (12)

Downloads: (external link)
http://dx.doi.org/10.1287/trsc.19.3.278 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:inm:ortrsc:v:19:y:1985:i:3:p:278-292

Access Statistics for this article

More articles in Transportation Science from INFORMS Contact information at EDIRC.
Bibliographic data for series maintained by Chris Asher ().