Continuous Chain Ladder: Reformulating and generalizing a classical insurance problem

作者:

Highlights:

• Link between classical reserving and modern mathematical statistics.

• Classical chain ladder as a structured histogram allows further developments.

• Chain ladder is a granular method since histograms work on continuous data.

• Aggregation is not the key model feature of chain ladder, it is the multiplicative structure.

• Continuous Chain Ladder: the natural kernel smoother improving classical histograms.

摘要

•Link between classical reserving and modern mathematical statistics.•Classical chain ladder as a structured histogram allows further developments.•Chain ladder is a granular method since histograms work on continuous data.•Aggregation is not the key model feature of chain ladder, it is the multiplicative structure.•Continuous Chain Ladder: the natural kernel smoother improving classical histograms.

论文关键词:Chain Ladder,Claims reserves,Reserve risk,Multiplicative bias correction,Density estimation,Cross-validation,Smoothing,Kernel

论文评审过程:Available online 19 April 2013.

论文官网地址:https://doi.org/10.1016/j.eswa.2013.04.006