 previous article in this issue | next article in this issue  |
|
Document Details : Title: On the Use of Equispaced Discrete Distributions Author(s): WALHIN, J.F. , PARIS, J. Journal: ASTIN Bulletin Volume: 28 Issue: 2 Date: November 1998 Pages: 241-256 DOI: 10.2143/AST.28.2.519068 Abstract : The Kolmogorov distance is used to transform arithmetic severities into equispaced arithmetic severities in order to reduce the number of calculations when using algorithms like Panjer's formulae for compound distributions. An upper bound is given for the Kolmogorov distance between the true compound distribution and the transformed one. Advantages of the Kolmogorov distance and disadvantages of the total variation distance are discussed. When the bounds are too big, a Berry-Esseen result can be used. Then almost every case can be handled by the techniques described in this paper. Numerical examples show the interest of the methods. |
