Approximating the Distribution of a Dynamic Risk Portfolio

Abstract
In a previous paper, Jewell and Sundt showed how to approximate a distribution of total losses from a large, fixed, heterogeneous portfolio, using a recursive algorithm developed by Panjer for the distribution of a random sum of random variables (a single casualty contract). This paper extends the approximation procedure to large, dynamic heterogeneous portfolios, in order to model either a portfolio of correlated casualty contracts, or a future portfolio, whose composition is not known with certainty.
Volume
14:2
Page
135-148
Year
1984
Categories
Financial and Statistical Methods
Aggregation Methods
Collective Risk Model
Financial and Statistical Methods
Aggregation Methods
Panjer
Financial and Statistical Methods
Loss Distributions
Publications
ASTIN Bulletin
Authors
William S Jewell