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Application of the Empirical Bayes Method with the Finite Mixture Model for Identifying Accident-Prone Spots

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  • Yajie Zou
  • Kristian Henrickson
  • Lingtao Wu
  • Yinhai Wang
  • Zhaoru Zhang

Abstract

Hotspot identification (HSID) is an important component of the highway safety management process. A number of methods have been proposed to identify hotspots. Among these methods, previous studies have indicated that the empirical Bayes (EB) method can outperform other methods for identifying hotspots, since the EB method combines the historical crash records of the site and expected number of crashes obtained from a safety performance function (SPF) for similar sites. However, the SPFs are usually developed based on a large number of sites, which may contain heterogeneity in traffic characteristic. As a result, the hotspot identification accuracy of EB methods can possibly be affected by SPFs, when heterogeneity is present in crash data. Thus, it is necessary to consider the heterogeneity and homogeneity of roadway segments when using EB methods. To address this problem, this paper proposed three different classification-based EB methods to identify hotspots. Rural highway crash data collected in Texas were analyzed and classified into different groups using the proposed methods. Based on the modeling results for Texas crash dataset, it is found that one proposed classification-based EB method performs better than the standard EB method as well as other HSID methods.

Suggested Citation

  • Yajie Zou & Kristian Henrickson & Lingtao Wu & Yinhai Wang & Zhaoru Zhang, 2015. "Application of the Empirical Bayes Method with the Finite Mixture Model for Identifying Accident-Prone Spots," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, September.
  • Handle: RePEc:hin:jnlmpe:958206
    DOI: 10.1155/2015/958206
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