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Mixtures and diagnostic plots in modelling road traffic vehicle headways

Lookup NU author(s): Dr Malcolm Farrow

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Abstract

We consider Bayesian modelling of the inter-arrival times of vehicles on a road. We give particular attention to model checking and propose diagnostic plots to assess whether the model captures features observed in the data. Models for such processes are important in predicting the behaviour of road junctions. Two-component mixtures have often been used, with a variety of distributions for the components and non-Bayesian methods for fitting. The components are often regarded as representing 'free flowing' and 'congested' vehicles. We propose a gamma-exponential mixture and compare this with some other models. To allow for the serial dependence of headways, we consider the use of a hidden Markov chain for the mixture component allocation. © 2007 SAGE Publications.


Publication metadata

Author(s): Cowburn GJ, Farrow M

Publication type: Article

Publication status: Published

Journal: Statistical Modelling

Year: 2007

Volume: 7

Issue: 1

Pages: 73-89

Print publication date: 01/04/2007

ISSN (print): 1471-082X

ISSN (electronic): 1477-0342

Publisher: Sage Publications

URL: http://dx.doi.org/10.1177/1471082X0600700105

DOI: 10.1177/1471082X0600700105


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