Prediction of regionalized car insurance risks based on control variates

Christiansen Marcus C. (), Hirsch Christian () and Schmidt Volker ()
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Christiansen Marcus C.: Institute of Insurance Science, University of Ulm, 89069 Ulm, Germany
Hirsch Christian: Institute of Stochastics, University of Ulm, 89069 Ulm, Germany
Schmidt Volker: Institute of Stochastics, University of Ulm, 89069 Ulm, Germany

Statistics & Risk Modeling, 2014, vol. 31, issue 2, 163-181

Abstract: We show how regional prediction of car insurance risks can be improved for finer subregions by combining explanatory modeling with phenomenological models from industrial practice. Motivated by the control-variates technique, we propose a suitable combined predictor when claims data are available for regions but not for subregions. We provide explicit conditions which imply that the mean squared error of the combined predictor is smaller than the mean squared error of the standard predictor currently used in industry and smaller than predictors from explanatory modeling. We also discuss how a non-parametric random forest approach may be used to practically compute such predictors and consider an application to German car insurance data.

Keywords: Prediction; regionalized risk; car insurance; random forest; control variates; Prediction; regionalized risk; car insurance; random forest; control variates (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1515/strm-2013-1148

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