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COMPOUND POISSON CLAIMS RESERVING MODELS: EXTENSIONS AND INFERENCE

Published online by Cambridge University Press:  11 May 2018

Shengwang Meng  and
Guangyuan Gao
Shengwang Meng
Affiliation:
Center for Applied Statistics and School of Statistics, Renmin University of China, Beijing 100872, China, E-Mail: [email protected]
Guangyuan Gao*
Affiliation:
Center for Applied Statistics and School of Statistics, Renmin University of China, Beijing 100872, China
*
E-Mail: [email protected]
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Abstract

We consider compound Poisson claims reserving models applied to the paid claims and to the number of payments run-off triangles. We extend the standard Poisson-gamma assumption to account for over-dispersion in the payment counts and to account for various mean and variance structures in the individual payments. Two generalized linear models are applied consecutively to predict the unpaid claims. A bootstrap is used to estimate the mean squared error of prediction and to simulate the predictive distribution of the unpaid claims. We show that the extended compound Poisson models make reasonable predictions of the unpaid claims.

Keywords

Stochastic claims reservingcompound Poisson modelgeneralized linear modelquasi-likelihood estimationbootstrapTweedie's distribution
Type
Research Article
Information
ASTIN Bulletin: The Journal of the IAA , Volume 48 , Issue 3 , September 2018 , pp. 1137 - 1156
Copyright
Copyright © Astin Bulletin 2018 

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