Stochastic Loss Reserving in Discrete Time: Individual vs. Aggregate Data Models

Stochastic Loss Reserving in Discrete Time: Individual vs. Aggregate Data Models
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离散时间的随机损失保留:个体数据模型与聚合数据模型

DOI:
10.1080/03610926.2014.976473
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发表时间:
2015
影响因子:
0.8
通讯作者:
Wu Xianyi
Wu Xianyi
中科院分区:
数学4区
文献类型:
--
作者:
Huang Jinlong;Qiu Chunjuan;Wu Xianyi

文献摘要

被引文献

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In this paper, a stochastic individual data model is considered. It accommodates occurrence times, reporting, and settlement delays and severity of every individual claims. This formulation gives rise to a model for the corresponding aggregate data under which classical chain ladder and Bornhuetter–Ferguson algorithms apply. A claims reserving algorithm is developed under this individual data model and comparisons of its performance with chain ladder and Bornhuetter–Ferguson algorithms are made to reveal the effects of using individual data to instead aggregate data. The research findings indicate a remarkable promotion in accuracy of loss reserving, especially when the claims amounts are not too heavy-tailed.