Cited by 126Traffic and Road SafetyProbability and Risk ModelsInsurance and Financial Risk Management

Unravelling the predictive power of telematics data in car insurance pricing

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Verbelen, Roel, Antonio, Katrien, Claeskens, Gerda·2018·Journal of the Royal Statistical Society Series C: Applied Statistics

Abstract

Summary: A data set from a Belgian telematics product aimed at young drivers is used to identify how car insurance premiums can be designed based on the telematics data collected by a black box installed in the vehicle. In traditional pricing models for car insurance, the premium depends on self-reported rating variables (e.g. age and postal code) which capture characteristics of the policy(holder) and the insured vehicle and are often only indirectly related to the accident risk. Using telematics technology enables tailor-made car insurance pricing based on the driving behaviour of the policyholder. We develop a statistical modelling approach using generalized additive models and compositional predictors to quantify and interpret the effect of telematics variables on the expected claim frequency. We find that such variables increase the predictive power and render the use of gender as a rating variable redundant.

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  • Generalized Additive Models can overcome the linear predictor constraint of GLMs but have difficulty capturing the complex interactions among feature variables.

    “Alternative approaches using Generalized Additive Models (GAM) can overcome the linear predictor constraint of GLMs but have difficulty capturing the complex interactions among feature variables (Verbelen et al. 2018).”

    From Modelling Motor Insurance Claim Frequency and Severity Using Gradient Boosting (2023) · cites this paper as Verbelen et al. 2018

    Section 4.1 says GAMs model continuous predictors more flexibly than traditional GLMs, supporting the first part of the claim. Section 4.3 says the authors restricted model selection to additive terms to keep the search feasible and effects interpretable, but Section 5.2 says they also explored interactions. The paper does not establish that GAMs generally have difficulty capturing complex interactions. (LLM, conf=0.86)

    Experimental — accuracy not yet measured
  • Gender differences in the risk of accidents are, to a large extent, attributable to the fact that men drive longer average distances than women.

    “They all concluded that Gender differences in the risk of accidents are, to a large extent, attributable to the fact that men drive longer average distances than women.”

    From The Use of Telematics Devices to Improve Automobile Insurance Rates (2019) · cites this paper as Verbelen, Antonio, & Claeskens, 2018

    The Policy variables section reports that women in the studied portfolio drove fewer kilometres per year than men and that the apparent gender difference in risk could be explained by driving habits. The Conclusion says that distance and how driving is distributed across categories take over part of gender's predictive power; it does not establish that longer average distance alone explains the difference to a large extent. (LLM, conf=0.82)

    Experimental — accuracy not yet measured
  • Men on average drive significantly longer distances than women.

    “As found by other authors, the influence of Gender is masked by the fact that men on average drive significantly longer distances than women.”

    From The Use of Telematics Devices to Improve Automobile Insurance Rates (2019) · cites this paper as Verbelen, Antonio, & Claeskens, 2018

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Research works printed but not linked: 39

  1. Aitchison, J. and Kay, J. W. (2003). Possible solution of some essential zero problems in compositional data analysis. In Thió-Henestrosa, S. and Martín-Fernández, J. A., editors, Proceedings of CoDaWork'03, The 1st Compositional Data Analysis Workshop. University of Girona.
  2. Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19(6):716-723.
  3. Ayuso, M., Guillén, M., and Pérez-Marín, A. M. (2016a). Telematics and gender discrimination: Some usage-based evidence on whether men's risk of accidents differs from women's. Risks, 4(2):10.
  4. Bacon Shone, J. (2003). Modelling structural zeros in compositional data. In Thió-Henestrosa, S. and Martín-Fernández, J. A., editors, Proceedings of CoDaWork'03, The 1st Compositional Data Analysis Workshop. University of Girona.
  5. Barceló-Vidal, C., Martín-Fernández, J. A., and Mateu-Figueras, G. (2011). Compositional differential calculus on the simplex. In Pawlowsky-Glahn, V. and Buccianti, A., editors, Compositional Data Analysis: Theory and Applications. John Wiley & Sons.
  6. Butler, P. (1993). Cost-based pricing of individual automobile risk transfer: Car-mile exposure unit analysis. Journal of Actuarial Practice, 1(1):51-84.
  7. Czado, C., Gneiting, T., and Held, L. (2009). Predictive model assessment for count data. Biometrics, 65(4):1254-1261.
  8. de Jong, P. and Heller, G. (2008). Generalized linear models for insurance data. Cambridge.
  9. Denuit, M. and Lang, S. (2004). Non-life ratemaking with Bayesian GAMs. Insurance: Mathematics and Economics, 35(3):627-647.
  10. Denuit, M., Marechal, X., Pitrebois, S., and Walhin, J. (2007). Actuarial modelling of claim counts: risk classification, credibility and bonus-malus systems. Wiley.
  11. Desyllas, P. and Sako, M. (2013). Profiting from business model innovation: Evidence from pay-as-you-drive auto insurance. Research Policy, 42(1):101-116.
  12. Egozcue, J. J., Barceló-Vidal, C., Martín-Fernández, J. A., Jarauta-Bragulat, E., Díaz-Barrero, J. L., and Mateu-Figueras, G. (2011). Elements of simplicial linear algebra and geometry. In Pawlowsky-Glahn, V. and Buccianti, A., editors, Compositional Data Analysis: Theory and Applications. John Wiley & Sons.
  13. Egozcue, J. J., Pawlowsky-Glahn, V., Mateu-Figueras, G., and Barcelo-Vidal, C. (2003). Isometric logratio transformations for compositional data analysis. Mathematical Geology, 35(3):279-300.
  14. Filipova-Neumann, L. and Welzel, P. (2010). Reducing asymmetric information in insurance markets: Cars with black boxes. Telematics and Informatics, 27(4):394-403.
  15. Frees, E. W. (2014). Frequency and severity models. In Frees, E. W., Derrig, R. A., and Meyers, G., editors, Predictive modeling applications in actuarial science, volume 1. Cambridge University Press.
  16. Gneiting, T. and Raftery, A. E. (2007). Strictly proper scoring rules, prediction, and estimation. Journal of the American Statistical Association, 102(477):359-378.
  17. Greenberg, A. (2009). Designing pay-per-mile auto insurance regulatory incentives. Transportation Research Part D: Transport and Environment, 14(6):437-445.
  18. Hastie, T. and Tibshirani, R. (1986). Generalized additive models. Statistical Science, 1(3):297-318.
  19. Hastie, T., Tibshirani, R., and Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference and Prediction. Springer, second edition.
  20. Hron, K., Filzmoser, P., and Thompson, K. (2012). Linear regression with compositional explanatory vari- ables. Journal of Applied Statistics, 39(5):1115-1128.
  21. Krivobokova, T. and Kauermann, G. (2007). A note on penalized spline smoothing with correlated errors. Journal of the American Statistical Association, 102(480):1328-1337.
  22. Lancaster, P. and Salkauskas, K. (1986). Curve and surface fitting: An introduction. London: Academic Press.
  23. Lemaire, J., Park, S. C., and Wang, K. C. (2016). The use of annual mileage as a rating variable. ASTIN Bulletin, 46:39-69.
  24. Marra, G. and Wood, S. N. (2012). Coverage properties of confidence intervals for generalized additive model components. Scandinavian Journal of Statistics, 39(1):53-74.
  25. Martín-Fernández, J. A., Palarea-Albaladejo, J., and Olea, R. A. (2011). Dealing with zeros. In Pawlowsky- Glahn, V. and Buccianti, A., editors, Compositional Data Analysis: Theory and Applications, pages 43-58.
  26. Mateu-Figueras, G., Pawlowsky-Glahn, V., and Egozcue, J. J. (2011). The principle of working on coor- dinates. In Pawlowsky-Glahn, V. and Buccianti, A., editors, Compositional Data Analysis: Theory and Applications. John Wiley & Sons.
  27. McCullagh, P. and Nelder, J. (1989). Generalized linear models. Chapman and Hall, New York, second edition.
  28. Parry, I. W. H. (2005). Is pay-as-you-drive insurance a better way to reduce gasoline than gasoline taxes? American Economic Review, 95(2):288-293.
  29. Pawlowsky-Glahn, V., Egozcue, J. J., and Tolosana-Delgado, R. (2015). Modeling and Analysis of Compo- sitional Data. John Wiley & Sons.
  30. Reiss, P. T. and Ogden, R. T. (2009). Smoothing parameter selection for a class of semiparametric linear models. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 71(2):505-523.
  31. Ruppert, D., Wand, M. P., and Carroll, R. J. (2003). Semiparametric regression. Cambridge: Cambridge University Press.
  32. Toledo, T., Musicant, O., and Lotan, T. (2008). In-vehicle data recorders for monitoring and feedback on drivers' behavior. Transportation Research Part C: Emerging Technologies, 16(3):320 -331.
  33. van den Boogaart, K., Tolosana-Delgado, R., and Bren, M. (2006). Concepts for handling zeroes and missing values in compositional data. In Pirard, E., editor, Proceedings of IAMG'06, The XI annual conference of the International Association for Mathematical Geology. University of Liège.
  34. van den Boogaart, K. G. and Tolosana-Delgado, R. (2013). Analyzing compositional data with R. Springer.
  35. Wahba, G. (1981). Spline interpolation and smoothing on the sphere. SIAM Journal on Scientific and Statistical Computing, 2(1):5-16.
  36. Wood, S. (2006). Generalized additive models: an introduction with R. Chapman and Hall/CRC Press.
  37. Wood, S. N. (2011). Fast stable restricted maximum likelihood and marginal likelihood estimation of semi- parametric generalized linear models. Journal of the Royal Statistical Society (B), 73(1):3-36.
  38. Wood, S. N. (2013). A simple test for random effects in regression models. Biometrika, 100(4):1005-1010.
  39. Wood, S. N., Pya, N., and Säfken, B. (2016). Smoothing parameter and model selection for general smooth models. Journal of the American Statistical Association, 111(516):1548-1563.

Cited by

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Authors
Verbelen, R., Antonio, K., & Claeskens, G.
Affiliations
  • KU Leuven (BE)
  • University of Amsterdam (NL)
Corresponding author
Verbelen, Roel
Venue
Journal of the Royal Statistical Society Series C: Applied Statistics
Published
2018-04-19
Volume
67
Issue
5
Pages
1275-1304
ISSN
  • 0035-9254 (ISSN-L)
  • 1467-9876
OpenAlex
W3124322175
Cited by
126
References
1
Citations by year
2026: 3 · 2025: 13 · 2024: 26 · 2023: 15 · 2022: 16 · 2021: 13 · 2020: 20 · 2019: 12 · 2018: 8
FWCI
16.05
Type
journal article
Language
en
Open access
Locations
  • Journal of the Royal Statistical Society Series C (Applied Statistics) (publishedVersion)
  • UvA-DARE (University of Amsterdam) (publishedVersion, cc-by-nc)
  • Lirias (acceptedVersion, cc-by)
  • Data Archiving and Networked Services (DANS) (submittedVersion, other-oa)
Funders
  • Vlaams Supercomputer Centrum
  • KU Leuven (GOA/12/14, COMPACT C24/15/001)
Topics
  • Physical Sciences › Engineering › Safety, Risk, Reliability and Quality › Traffic and Road Safety
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Probability and Risk Models
  • Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Insurance and Financial Risk Management
Keywords
telematics, black box, young drivers, driver behavior, claim frequency, generalized additive models, crash risk

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