Nakayama, S, Connors, RD orcid.org/0000-0002-1696-0175 and Watling, DP orcid.org/0000-0002-6193-9121 (2009) Estimation of Parameters of Network Equilibrium Models: A Maximum Likelihood Method and Statistical Properties of Network Flow. In: Lam, WHK, Wong, SC and Lo, HK, (eds.) Transportation & Traffic Theory 2009: Golden Jubilee. Springer , pp. 39-56. ISBN 978-1-4419-0820-9
Abstract
Estimation of the parameters in network equilibrium models, including OD matrix elements, is essential when applying the models to real-world net-works. Link flow data are convenient for estimating parameters because it is rela-tively easy for us to obtain them. In this study, we propose a maximum likelihood method for estimating parameters of network equilibrium models using link flow data, and derive first and second derivatives of the likelihood function under the equilibrium constraint. Using the likelihood function and its derivatives, t-values and other statistical indices are provided to examine the confidence interval of es-timated parameters and the model’s goodness-of-fit. Also, we examine which conditions are needed for consistency, asymptotic efficiency, and asymptotic nor-mality for the maximum likelihood estimators with non-I.I.D. link flow data. In order to investigate the validity and applicability, the proposed ML method is ap-plied to a simple network and the road network in Kanazawa City, Japan.
Metadata
Item Type: | Book Section |
---|---|
Authors/Creators: |
|
Editors: |
|
Copyright, Publisher and Additional Information: | © 2009, Springer. This is an author produced version of a paper published in Transportation & Traffic Theory 2009: Golden Jubilee. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > Institute for Transport Studies (Leeds) > ITS: Spatial Modelling and Dynamics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 10 Sep 2019 10:36 |
Last Modified: | 12 Sep 2019 04:28 |
Published Version: | http://www.springer.com/business+&+management/oper... |
Status: | Published |
Publisher: | Springer |
Identification Number: | 10.1007/978-1-4419-0820-9_3 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:84663 |