Approximative Evaluation of the Distribution Function of Aggregate Claims

Abstract
A formula, originally presented by J.B.S. HALDANE (1938), for the evaluation of the distribution of aggregate claims is examined and compared with some other approaches. The idea is to apply a symmetrizing transformation to the original variable in order to make it susceptible to be approximated by the normal distribution. Keywords: Aggregate claim distribution; approximate evaluation; NP method; Haldane approximation; Wilson-Hilferty approximation
Volume
17:1
Page
15
Year
1987
Categories
Financial and Statistical Methods
Aggregation Methods
Collective Risk Model
Financial and Statistical Methods
Loss Distributions
Frequency
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Probability Transforms
Financial and Statistical Methods
Loss Distributions
Severity
Financial and Statistical Methods
Simulation
Publications
ASTIN Bulletin
Authors
Teivo Pentikäinen