Burnecki, Krzysztof and Weron, Rafal (2010): Simulation of Risk Processes.

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Abstract
This paper is intended as a guide to simulation of risk processes. A typical model for insurance risk, the socalled 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. 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 noninsurance product risks, such as credit and operational risk. In this paper we present efficient simulation algorithms for several classes of claim arrival processes.
Item Type:  MPRA Paper 

Original Title:  Simulation of Risk Processes 
Language:  English 
Keywords:  Risk process; Claim arrival process; Homogeneous Poisson process (HPP); Nonhomogeneous Poisson process (NHPP); Mixed Poisson process; Cox process; Renewal process. 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods; Programming Models; Mathematical and Simulation Modeling > C63  Computational Techniques; Simulation Modeling C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C24  Truncated and Censored Models; Switching Regression Models G  Financial Economics > G3  Corporate Finance and Governance > G32  Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General > C15  Statistical Simulation Methods: General 
Item ID:  25444 
Depositing User:  Rafal Weron 
Date Deposited:  27. Sep 2010 03:22 
Last Modified:  18. Apr 2014 19:16 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/25444 