Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5077034 | Insurance: Mathematics and Economics | 2011 | 11 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Susanna Björkwall, Ola Hössjer, Esbjörn Ohlsson, Richard Verrall,