Building Loss Models
This paper is intended as a guide to building insurance risk (loss) models. A typical model for insurance risk, the so-called collective risk model, treats the aggregate loss as having a compound distribution with two main components: one characterizing the arrival of claims and another describing the severity (or size) of loss resulting from the occurrence of a claim. In this paper we first present efficient simulation algorithms for several classes of claim arrival processes. Then we review a collection of loss distributions and present methods that can be used to assess the goodness-of-fit of the claim size distribution. The collective risk model is often used in health insurance and in general insurance, whenever the main risk components are the number of insurance claims and the amount of the claims. It can also be used for modeling other non-insurance product risks, such as credit and operational risk.
|Date of creation:||Sep 2010|
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- Hautsch, Nikolaus & Yang, Fuyu, 2012.
"Bayesian inference in a Stochastic Volatility Nelson–Siegel model,"
Computational Statistics & Data Analysis,
Elsevier, vol. 56(11), pages 3774-3792.
- Nikolaus Hautsch & Fuyu Yang, 2010. "Bayesian Inference in a Stochastic Volatility Nelson-Siegel Model," SFB 649 Discussion Papers SFB649DP2010-004, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Fasten, Erik R. & Hofmann, Dirk, 2010. "Two-sided Certification: The market for Rating Agencies," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 338, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Hormann, W., 1993. "The transformed rejection method for generating Poisson random variables," Insurance: Mathematics and Economics, Elsevier, vol. 12(1), pages 39-45, February.
- Burnecki, Krzysztof & Kukla, Grzegorz & Weron, Rafał, 2000.
"Property insurance loss distributions,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 287(1), pages 269-278.
- Erik R. Fasten & Dirk Hofmann, 2010. "Two-sided Certification: The market for Rating Agencies," SFB 649 Discussion Papers SFB649DP2010-007, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- repec:cup:cbooks:9780521764650 is not listed on IDEAS
- Christian Basteck & Tijmen R. DaniÃ«ls & Frank Heinemann, 2010.
"Characterising Equilibrium Selection in Global Games with Strategic Complementarities,"
SFB 649 Discussion Papers
SFB649DP2010-008, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Basteck, Christian & Daniëls, Tijmen R. & Heinemann, Frank, 2013. "Characterising equilibrium selection in global games with strategic complementarities," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2620-2637.
- Burnecki, Krzysztof & Weron, Rafal, 2010.
"Simulation of Risk Processes,"
25444, University Library of Munich, Germany.
- Pavel Cizek & Wolfgang Karl Härdle & Rafal Weron, 2005. "Statistical Tools for Finance and Insurance," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0501.
- Dorothee Schneider, 2010. "The Impact of ICT Investments on the Relative Demand for High-, Medium-, and Low-Skilled Workers: Industry versus Country Analysis," SFB 649 Discussion Papers SFB649DP2010-017, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Wolfgang Karl HÃ¤rdle & Yuichi Mori & JÃ¼rgen Symanzik, 2012. "Computational Statistics (Journal)," SFB 649 Discussion Papers SFB649DP2012-004, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt-Universität Berlin, Center for Applied Statistics and Economics (CASE).
- Anna Chernobai & Krzysztof Burnecki & Svetlozar Rachev & Stefan Trück & Rafał Weron, 2006. "Modelling catastrophe claims with left-truncated severity distributions," Computational Statistics, Springer, vol. 21(3), pages 537-555, December.
- Wolfgang Karl HÃ¤rdle & Ostap Okhrin & Yarema Okhrin, 2010. "Time varying Hierarchical Archimedean Copulae," SFB 649 Discussion Papers SFB649DP2010-018, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Burnecki, Krzysztof & Misiorek, Adam & Weron, Rafal, 2010. "Loss Distributions," MPRA Paper 22163, University Library of Munich, Germany.
- Wolfgang Karl HÃ¤rdle & Yarema Okhrin & Weining Wang, 2010. "Uniform confidence bands for pricing kernels," SFB 649 Discussion Papers SFB649DP2010-003, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
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