Obtaining Predictive Distributions for Reserves Which Incorporate Expert Opinion

Abstract

This paper shows how expert opinion can be inserted into a stochastic framework for loss reserving. The reserving methods used are the chain-ladder and Bornhuetter-Ferguson, and the stochastic framework follows England and Verrall [8]. Although stochastic models have been studied, there are two main obstacles to their more frequent use in practice: ease of implementation and adaptability to user needs. This paper attempts to address these obstacles by utilizing Bayesian methods, and describing in some detail the implementation, using freely available software and programs supplied in the Appendix.

Volume
0001,0001,Spring
Page
0053-0080
Year
2007
Keywords
Bayesian statistics, Bornhuetter-Ferguson, chain-ladder, claims reserving, expert opinion, risk
Categories
Financial and Statistical Methods
Statistical Models and Methods
Generalized Linear Modeling
Actuarial Applications and Methodologies
Reserving
Management Best Estimate
Actuarial Applications and Methodologies
Reserving
Reserve Variability
Actuarial Applications and Methodologies
Reserving
Reserving Methods
Actuarial Applications and Methodologies
Reserving
Uncertainty and Ranges
Financial and Statistical Methods
Credibility
Publications
Variance
Prizes
Variance Prize
Authors
Richard J Verrall
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