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arXiv 2109.02584stat.ME
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死亡率建模与预测的随机脆弱性模型

Stochastic frailty models for modeling and forecasting mortality

Søren Fiig Jarner

摘要:

在许多国家,预期寿命的增长甚至比最近的预测要高得多。这主要是由于现有模式没有反映老年死亡率的改善率不断提高。在本文中,我们展示了如何脆弱的概念可以用来模拟两个变化率的改善和减速的死亡率在老年人,也看到的数据。我们提出了一个“脆弱化”的方法,可以添加到标准的死亡率模型的脆弱性。目的是改进老年死亡率的建模和预测,同时保留原始模型的结构和基本的随机过程。估计是基于一般的伪似然方法,允许使用基本上任何脆弱性分布和死亡率模型。我们还考虑了一类广义随机脆弱性模型的脆弱性和非脆弱性条款,我们描述了如何这些模型可以估计的EM算法。该方法适用于李卡特模型和参数时间序列模型。对于这两个应用程序的影响,增加虚弱的美国男性的死亡率数据说明。

英文摘要:

In many countries life expectancy gains have been substantially higher than predicted by even recent forecasts. This is primarily due to increasing rates of improvement in old-age mortality not captured by existing models. In this paper we show how the concept of frailty can be used to model both changing rates of improvement and the deceleration of mortality at old ages, also seen in data. We present a "fragilization" method by which frailty can be added to standard mortality models. The aim is to improve the modeling and forecasting of old-age mortality while preserving the structure of the original model and the underlying stochastic processes. Estimation is based on a general pseudo-likelihood approach which allows the use of essentially any frailty distribution and mortality model. We also consider a class of generalized stochastic frailty models with both frailty and non-frailty terms, and we describe how these models can be estimated by the EM-algorithm. The method is applied to the Lee-Carter model and a parametric time-series model. For both applications the effect of adding frailty is illustrated with mortality data for US males.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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