Dependence Modeling in Multivariate Claims Run-Off Triangles
نویسندگان
چکیده
منابع مشابه
Modeling dependence between loss triangles using copulas
A critical problem in property and casualty insurance is forecasting payments for incurred but not yet finalized claims. Forecasts and associated risk margins are often based on loss triangles with each triangle corresponding to a different line of business. Each triangle displays the development over time of all payments associated with claims originating in each year and for a given line of b...
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In this contribution we review models for construction of higher dimensional dependence that have arisen recent years. In particular we focus on specific generalized Farlie Gumbel (or Sarmanov) copulas which are generated by a single function (so-called generator or generator function) defined on the unit interval. An alternative approach to generalize the FGM family of copulas is to consider t...
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Comonotonic latent variables are introduced into general factor models, in order to allow non-linear transformations of latent factors, so that various multivariate dependence structures can be captured. Through decomposing each univariate marginal into several components, and letting some components belong to different sets of comonotonic latent variables, a great variety of multivariate model...
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In order to determine the risk capital for their aggregate portfolio, property and casualty insurance companies must fit a multivariate model to the loss triangle data relating to each of their lines of business. As an inadequate choice of dependence structure may have an undesirable effect on reserve estimation, a two-stage inference strategy is proposed in this paper to assist with model sele...
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In Buchwalder et al. [3] we have revisited Mack’s [7] and Murphy’s [9] estimates for the mean square error of prediction (MSEP) of the chain ladder claims reserving method. This was done using a time series model for the chain ladder method. In this paper we extend the time series model to determine an estimate for the MSEP of a portfolio of N correlated run-off triangles. This estimate differs...
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ژورنال
عنوان ژورنال: SSRN Electronic Journal
سال: 2011
ISSN: 1556-5068
DOI: 10.2139/ssrn.1975336