Theoretical and empirical comparison of two discrete statistical models of crash frequencies

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DOI:

https://doi.org/10.26637/mjm1004/003

Abstract

In this paper, we compare two discrete statistical models for the evaluation of a road safety measure. We give a much simpler proof of the expression of the maximum likelihood estimator for the more complex model and we demonstrate theoretical results on the measure of divergence between the two models. The results obtained on real data suggest that both models are very competitive.

Keywords:

Statistical model, maximum likelihood, parameter estimation, road safety, Kullback-Leibler divergence

Mathematics Subject Classification:

62F10, 62F30, 62H10, 62P99
  • Issa Cherif GERALDO Laboratoire d’Analyse, de Modélisations Mathématiques et Applications (LAMMA), Département de Mathématiques, Faculté des Sciences, Université de Lomé, 1 B.P. 1515 Lomé 1, Togo.
  • Tchilabalo Abozou KPANZOU Département de Mathématiques, Faculté des Sciences et Techniques, Université de Kara, Kara, Togo.
  • Pages: 322-335
  • Date Published: 01-10-2022
  • Vol. 10 No. 04 (2022): Malaya Journal of Matematik (MJM)

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Published

01-10-2022

How to Cite

Issa Cherif GERALDO, and T. A. KPANZOU. “Theoretical and Empirical Comparison of Two Discrete Statistical Models of Crash Frequencies”. Malaya Journal of Matematik, vol. 10, no. 04, Oct. 2022, pp. 322-35, doi:10.26637/mjm1004/003.