Work

Computation of Compound Distributions I: Aliasing Errors and Exponential Tilting

Year: 1999
Type: article
Abstract: Numerical evaluation of compound distributions is one of the central numerical tasks in insurance mathematics. Two widely used techniques are Panjer recursion and transform methods. Many authors have pointed out that aliasing errors imply the need to consider the whole distribution if transform methods are used, a potential drawback especially for heavy-tailed distributions. We investigate the magnitude of aliasing errors and show that this problem can be solved by a suitable change of measure.
Language: English
Open Access status: bronze
OpenAlex ID: W2124229737
FWCI: 1.18
Cites: 20
Cited by: 49
Related to: 10