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Part of the book series: Contributions to Economics ((CE))

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Abstract

The aim of this research is to explore and analyze the benefits of risk classification methods by using data mining techniques on premium ratemaking in nonlife insurance. We rely on generalized linear models (GLMs) framework for nonlife premiums and examine the impact of specific data mining techniques on classifications of risk in motor hull insurance in Bosnia and Herzegovina. We study this relationship in an integrated framework considering a standard risk model based on the application of Poisson GLM for claims frequency estimate. Although GLM is a widely used method to determine insurance premiums, improvements of GLM by using the data mining methods identified in this paper may solve practical challenges for the risk models. The application of the data mining method in this paper aims to improve the results in the process of nonlife insurance premium ratemaking. The improvement is reflected in the choice of predictors or risk factors that have an impact on insurance premium rates. The following data mining methods for the selection of prediction variables were investigated: forward stepwise and neural networks. We provide strong and robust evidence that the use of data mining techniques influences premium ratemaking in nonlife insurance.

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References

  • Antonio K, Valdez EA (2010) Statistical concepts of a priori and a posteriori risk classification. Adv Stat Anal 96(2):187–224

    Article  Google Scholar 

  • Coskun S (2016) Introducing credibility theory into GLMs for ratemaking on auto portfolio. Institute de Actuaries, Actuarial thesis. Centre d'Etudes Actuarielles

    Google Scholar 

  • Denuit M, Lang S (2004) Non-life rate-making with Bayesian GAMs. Insur: Math Econ 35(3):627–647

    Google Scholar 

  • Dionne G, Vanasse C (1988) A generalization of actuarial automobile insurance rating models: the negative binomial distribution with a regression component. ASTIN Bull 19(2):199–212

    Article  Google Scholar 

  • Dionne G, Vanasse C (1992) Automobile insurance ratemaking in the presence of asymmetrical information. J Appl Economet 7(2):149–165

    Article  Google Scholar 

  • Dugas C, Bengio Y, Chapados N, Vincent P, Denoncourt G, Fournier C (2003) Statistical learning algorithms applied to automobile insurance ratemaking. Casualty Actuar Soc Forum 1(1):179–214

    Google Scholar 

  • Efroymson MA (1960) ‘Multiple regression analysis. In: Mathematical methods for digital computers’. Wiley, New York

    Google Scholar 

  • Famoye F, Rothe DE (2003) Variable selection for poisson regression model. J Mod Appl Stat Methods 2(2):380–388

    Article  Google Scholar 

  • Flynn M, Francis LA (2009) More flexible GLMs: zero-inflated models and hybrid models. Casualty Actuar Soc E‐Forum 148–224

    Google Scholar 

  • Francis L (2001) Neural networks demystified. Casualty actuarial society forum. pp 253–320

    Google Scholar 

  • Frees EW, Lee G (2016) Rating endorsements using generalized linear models casualty actuarial society. Var Adv Sci Risk 10(1):51–74

    Google Scholar 

  • Garrido J, Genest C, Schulz J (2016) Generalized linear models for dependent frequency and severity of insurance claims. Insur: Math Econ 70:205–215

    Google Scholar 

  • Goldburd M, Khare A, Tevet D (2016) Generalized linear models for insurance rating. Casualty Actuar Soc 5, 2nd edn

    Google Scholar 

  • Guo L (2003) Applying data mining techniques in property/casualty insurance. Casualty Actuarial Society forum. Available at: https://www.casact.org/pubs/forum/03wforum/03wf001.pdf

  • Haberman S, Renshaw AE (1996) Generalized linear models and actuarial science. Stat 45(4):407–436

    Google Scholar 

  • Han J, Kamber M, Pei J (2012) Data mining concepts and techniques, 3rd edn. The Morgan Kaufmann, Burlington, USA

    Google Scholar 

  • Harrell F (2001) Regression modeling strategies: with applications to linear models, logistic regression, and survival analysis. Chapter 5: resampling, validating, and simplifying the model. 3:88–103

    Google Scholar 

  • Hastie T, Tibshirani R, Friedman J (2001) The elements of statistical learning. Springer, New York, USA

    Book  Google Scholar 

  • Hebb DO (1949) The organization of behavior. A neuropsychological theory. Wiley

    Google Scholar 

  • Hilbe J (2007) Negative binomial regression. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511811852

  • Hilbe JM (2014) Modeling count data. Cambridge University Press, New York

    Book  Google Scholar 

  • de Jong P, Heller GZ (2013) Generalized linear models for insurance data, 5th edn. Cambridge University Press, New York

    Google Scholar 

  • Jørgensen B, Souza M (1994) Fitting tweedie's compound poisson model to insurance claims data. Scandinavian Actuarial J 1:69–93. https://doi.org/10.1080/03461238.1994.10413930

  • Kaas R, Goovaerts M, Dhaene J, Denuit M (2009) Modern actuarial risk theory, using R. Springer, Berlin

    Google Scholar 

  • Kolyshkina I, Wong S, Lim S (2004) Enhancing generalised linear models with data mining. Casualty actuarial society. Discussion paper program. Available at https://www.researchgate.net/publication/253447757_Enhancing_Generalised_Linear_Models_with_Data_Mining

  • Kriesel D (2007) A brief introduction to neural networks

    Google Scholar 

  • Kuha J (2004) AIC and BIC: comparisons of assumptions and performance. Socio Method Res 33(2):188–229. https://doi.org/10.1177/0049124103262065

  • Lowe J, Pryor L (1996) ‘Neural networks v. GLMs in pricing general insurance’, General Insurance Convention

    Google Scholar 

  • Makov UE, Weiss J, Frees EW, Meyers GG, Derrig RA (2016) Predictive modeling for usage-based auto insurance

    Google Scholar 

  • McCullagh P, Nelder JA (1989) Generalized linear models, 2nd edn. Chapman & Hall, London

    Book  Google Scholar 

  • Nelder JA, Wedderburn RWM (1972) Generalized linear models. J Roy Stat Soc 135(3):370–384

    Article  Google Scholar 

  • Ohlsson E, Johansson B (2010) Non-life insurance pricing with generalized linear models. Springer-Verlag, Berlin

    Book  Google Scholar 

  • Parodi P (2014) Pricing in general insurance, 1st edn. Chapman and Hall/CRC, New York

    Book  Google Scholar 

  • Pinquet J (1997) Allowance for cost of claims in bonus-malus systems. Ins: Math Econ 19:152–152. https://doi.org/10.1016/S0167-6687(97)81696-4

  • Renshaw AE (1994) Modeling the claims process in the presence of covariates. ASTIN Bull 24(2):265–285

    Article  Google Scholar 

  • SAS Institute (2002) Data mining in the insurance industry - solving business problems using SAS enterprise miner software. Available at: https://www.insurance-canada.ca/2002/10/01/data-mining-in-the-insurance-industry-solving-business-problems-using-sas-enterprise-miner-software/

  • Saltelli AS et al (2004) Sensitivity analysis in practice–a guide to assessing scientific models. Wiley

    Google Scholar 

  • Shapiro AF, Jain LC (2003) Intelligent and other computational techniques in insurance. World Scientific. https://doi.org/10.1142/5441

  • Smyth G, Jorgensen B (2002) Fitting tweedie's compound poisson model to insurance claims data: dispersion modelling. ASTIN Bulletin. 32. https://doi.org/10.2143/AST.32.1.1020

  • Sumathi S, Sivanandam SN (2006) Introduction to data mining and its applications. Springer-Verlag, Berlin

    Book  Google Scholar 

  • Werner G, Modlin C (2010) Basic ratemaking. Casualty actuarial society, 4th edn

    Google Scholar 

  • Yao J (2008) Clustering in ratemaking: with application in territories clustering. Casualty Actuar Soc Discuss Pap Program 170–192

    Google Scholar 

  • Yip K, Yau, K (2005) On modelling claim frequency data in general insurance with extra zeros. Ins: Math Econ 36:153–163. https://doi.org/10.1016/j.insmatheco.2004.11.002

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Correspondence to Jasmina Selimović .

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Omerašević, A., Selimović, J. (2022). Risk Classification in Nonlife Insurance Premium Ratemaking. In: Terzioğlu, M.K. (eds) Advances in Econometrics, Operational Research, Data Science and Actuarial Studies. Contributions to Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-85254-2_33

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