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.

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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

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article

Traffic count data analysis using mixtures of Kato–Jones distributions

Kota NAGASAKI, M. C. Jones, Wataru Nakanishi, Shogo Kato
Journal of the Royal Statistical Society Series C (Applied Statistics)
Bayesian Methods and Mixture Models
article

Traffic count data analysis using mixtures of Kato–Jones distributions

Kota NAGASAKI, M. C. Jones, Wataru Nakanishi, Shogo Kato
article en

Abstract

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.

Journal of the Royal Statistical Society Series C (Applied Statistics)Vol. 74(2)
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)
Japan Society for the Promotion of Science London, Japan Society for the Promotion of Science
Sustainable cities and communities
Openalex Percentile: Top 83%
Bayesian Methods and Mixture Models
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