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MODELING THE NUMBER OF INSURED HOUSEHOLDS IN AN INSURANCE PORTFOLIO USING QUEUING THEORY

  • Jean-Philippe Boucher (a1) and Guillaume Couture-Piché (a2)

Abstract

In this paper, we use queuing theory to model the number of insured households in an insurance portfolio. The model is based on an idea from Boucher and Couture-Piché (2015), who use a queuing theory model to estimate the number of insured cars on an insurance contract. Similarly, the proposed model includes households already insured, but the modeling approach is modified to include new households that could be added to the portfolio. For each household, we also use the queuing theory model to estimate the number of insured cars. We analyze an insurance portfolio from a Canadian insurance company to support this discussion. Statistical inference techniques serve to estimate each parameter of the model, even in cases where some explanatory variables are included in each of these parameters. We show that the proposed model offers a reasonable approximation of what is observed, but we also highlight the situations where the model should be improved. By assuming that the insurance company makes a $1 profit for each one-year car exposure, the proposed approach allows us to determine a global value of the insurance portfolio of an insurer based on the customer equity concept.

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References

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Benes, V. E. (1957a). Fluctuations of telephone traffic. Bell System Technical Journal, 36, 965973.
Boucher, J.-P. and Couture-Piché, G. (2015) Modeling the number of Insureds' cars using queuing theory. Insurance: Mathematics and Economics, 64, 6776.
Eick, S.G., Massey, W.A. and Whitt, W. (1993) Mt/G/∞ queues with sinusoidal arrival rates. Management Science, 39 (2), 241252.
Gross, D., Shortle, J.F., Thompson, J.M. and Harris, C.M. (2008) Fundamentals of Queuing Theory (Wiley Series in Probability and Statistics), 4th ed.New York, NY: Wiley-Interscience.
Guillén, M., Nielsen, J.P., Scheike, T.H. and Pérez-Marín, A.M. (2012) Time-varying effects in the analysis of customer loyalty: A case study in insurance. Expert Systems with Applications, 39 (3), 35513558.
Guelman, L., Guillén, M. and Pérez-Marín, A.M. (2014) A survey of personalized treatment models for pricing strategies in insurance. Insurance: Mathematics and Economics, 58 (1), 6876.
Guelman, L., Guillén, M. and Pérez-Marín, A.M. (2015) “Uplift Random Forests” Cybernetics & Systems, Special issue on Intelligent Systems in Business and Economics, 46 (3–4). 230248.
Newell, G. (1982) Applications of Queuing Theory, Monographs on Statistics and Applied Probability. London, England; New York, NY: Chapman and Hall.
Rust, R.T., Lemon, K. and Zeithaml, V.A. (2004) Return on marketing: Using customer equity to focus marketing strategy. Journal of Marketing, 68 (1), 109127.

Keywords

MODELING THE NUMBER OF INSURED HOUSEHOLDS IN AN INSURANCE PORTFOLIO USING QUEUING THEORY

  • Jean-Philippe Boucher (a1) and Guillaume Couture-Piché (a2)

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