We consider two classes of correlated aggregate claims distributions, one with univariate claim counts and multivariate claim sizes and the other with multivariate claim counts and univariate claim sizes. We show that when the multivariate claim counts distribution takes a certain form the second cl
On the computation of aggregate claims distributions: some new approximations
✍ Scribed by Yogendra P. Chaubey; Jose´ Garrido; Sonia Trudeau
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 638 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0167-6687
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✦ Synopsis
This paper proposes a new approximation to the aggregate claims distribution based on the inverse Gaussian (IG) distribution. It is compared to several other approximations in the literature. The IG approximation compares favorably to the well-known gamma approximation. We also propose an IG-gamma mixture that approximates the true distribution extremely accurately, in a large variety of situations.
📜 SIMILAR VOLUMES
Assume that a book of business is the union of disjoint classes of business and each of which has an aggregate distribution. The classes of business are correlated. We present necessary formulas to compute the aggregate distribution for the whole book when claim counts distribution takes a certain f
The ÿrst aim of this paper is to show how to present a random variable with the beta distribution (of the ÿrst kind) as a ÿnite or inÿnite product of independent random variable's (r.v.)'s X k , where k ∈ [1; 2; : : : ; n] or k ∈ N. Such a presentation of an r.v. with the gamma distribution in the f