A generalized linear model with smoothing effects for claims reserving |
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Authors: | Susanna Björkwall Ola Hössjer |
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Institution: | a Department of Mathematics, Division of Mathematical Statistics, Stockholm University, SE-106 91 Stockholm, Swedenb Länsförsäkringar Alliance, SE-106 50 Stockholm, Swedenc Cass Business School, City University, 106 Bunhill Row, London EC1Y 8TZ, United Kingdom |
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Abstract: | In this paper, we continue the development of the ideas introduced in England and Verrall (2001) by suggesting the use of a reparameterized version of the generalized linear model (GLM) which is frequently used in stochastic claims reserving. This model enables us to smooth the origin, development and calendar year parameters in a similar way as is often done in practice, but still keep the GLM structure. Specifically, we use this model structure in order to obtain reserve estimates and to systemize the model selection procedure that arises in the smoothing process. Moreover, we provide a bootstrap procedure to achieve a full predictive distribution. |
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Keywords: | Bootstrap Generalized linear model Model selection Smoothing Stochastic claims reserving |
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