A new distribution of Poisson-type for the number of claims

(1997) Astin Bulletin : the journal of the International Actuarial Association — Vol. 27, n° 2, p. 229-242 (1997)

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Abstract
This paper is concerned with two methods to estimate the parameters of the Poisson-Goncharov distribution introduced recently by Lefèvre and Picard (1996). These methods are applied to fit, inter alia, the six observed claims distributions, from automobile insurance third party liability portfolios, studied by Gossiaux and Lemaire (1981) and analysed afterwards by several authors.
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Denuit, M. (1997). A new distribution of Poisson-type for the number of claims. Astin Bulletin : the journal of the International Actuarial Association, 27(2), 229-242. https://doi.org/10.2143/AST.27.2.542049 (Original work published 1997)