Applying Graphical Models to Automobile Insurance Data

By Farrokh Guiahi

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Abstract

Analysis of insurance data provides input for making decisions regarding underwriting, pricing of insurance products, and claims, as well as profitability analysis. In this paper, we consider graphical modeling as a vehicle to reveal dependency structure of categorical variables used in the Australian Auto­ mobile data. The methodology developed here may supplement the traditional approach to ratemaking. Topics considered are the description of the automobile data set, preprocessing of the variables, visualization tools suitable for contingency tables, classical test of independence, log­linear models, the concept of conditional independence, and graphical modeling as a vehicle to explore the dependency structure among categorical variables, as well as a review of frequency rates by rating class.

Keywords: Categorical variables, visualization of categorical variables, mosaic plots, chi-square test, log-linear models, conditional independence, cliques, graphical modeling, frequency rates

Citation

Guiahi, Farrokh, "Applying Graphical Models to Automobile Insurance Data," Variance 11:1, 2018, pp. 23-44.

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Mission Statement

Variance (ISSN 1940-6452) is a peer-reviewed journal published by the Casualty Actuarial Society to disseminate work of interest to casualty actuaries worldwide. The focus of Variance is original practical and theoretical research in casualty actuarial science. Significant survey or similar articles are also considered for publication. Membership in the Casualty Actuarial Society is not a prerequisite for submitting papers to the journal and submissions by non-CAS members is encouraged.