Traffic count data analysis using mixtures of Kato–Jones distributions
Abstract We discuss the modelling of traffic count data that show the variation of traffic volume within a day. For the modelling, we apply mixtures of Kato–Jones distributions in which each component is unimodal and affords a wide range of skewness and kurtosis. We consider two methods for parameter estimation, namely, a modified method of moments and the maximum-likelihood method. These methods were seen to be useful for fitting the proposed mixtures to our data. As a result, the variation in traffic volume was classified into the morning and evening traffic whose distributions have different shapes, particularly different degrees of skewness and kurtosis.
Authors
- Kota NAGASAKI
- M. C. Jones (ORCID: https://orcid.org/0000-0001-6914-0675)
- Wataru Nakanishi
- Shogo Kato
Institutions
- Kanazawa University (JP)
- Tokyo Institute of Technology (JP)
- The Open University (GB)
- Tokyo Institute of Psychiatry (JP)
- The Institute of Statistical Mathematics (JP)
- Institute of Science Tokyo (JP)
Publication Details
- Journal
- Journal of the Royal Statistical Society Series C (Applied Statistics)
- Published
- 2024-10-28
- DOI
- https://doi.org/10.1093/jrsssc/qlae057
- Primary Topic
- Bayesian Methods and Mixture Models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Japan Society for the Promotion of Science London
- Japan Society for the Promotion of Science