圣人模式:十年后

Søren F. Jarner, Snorre Jallbjørn
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引用次数: 0

摘要

虽然许多流行的随机死亡率模型提供了适当的短期至中期预测,但只有少数模型对较长期的死亡率提供了生物学上合理的描述,并且足够稳定,可以在较小的人口中实际使用。最早解决小人口中成人死亡率建模问题的是SAINT模型,该模型已被丹麦劳动力市场补充养恤基金(ATP)用于定价、储备和长寿风险管理十多年。从从业者的角度来看,吸取的教训扩大了我们对理想模型属性的理解,并导致了对模型组件的修订,以解决准确性、稳定性、灵活性、可解释性和可信度问题。本文是对10年前发表的原始版本的更新,并介绍了SAINT模型及其修改及其背后的基本原理。主要的改进是将脆弱性模型从确定性结构推广到一类灵活的随机模型。我们通过实例展示了如何使用SAINT框架来模拟ATP的死亡率,并与Lee-Carter模型进行了比较。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
THE SAINT MODEL: A DECADE LATER

While many of the prevalent stochastic mortality models provide adequate short- to medium-term forecasts, only few provide biologically plausible descriptions of mortality on longer horizons and are sufficiently stable to be of practical use in smaller populations. Among the very first to address the issue of modelling adult mortality in small populations was the SAINT model, which has been used for pricing, reserving and longevity risk management by the Danish Labour Market Supplementary Pension Fund (ATP) for more than a decade. The lessons learned have broadened our understanding of desirable model properties from the practitioner’s point of view and have led to a revision of model components to address accuracy, stability, flexibility, explainability and credibility concerns. This paper serves as an update to the original version published 10 years ago and presents the SAINT model with its modifications and the rationale behind them. The main improvement is the generalization of frailty models from deterministic structures to a flexible class of stochastic models. We show by example how the SAINT framework is used for modelling mortality at ATP and make comparisons to the Lee-Carter model.

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