数学理论与应用

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基于AE-LSTM改进模型的高龄人口死亡率预测

杨刚,易艳萍, 孙超   

  1. 湖南工商大学理学院
  • 出版日期:2022-09-30
  • 基金资助:
    本文受国家社科基金面上项目(15BJY122)和湖南省教育厅科学研究重点项目(19A280)资助 

Prediction of Mortality of Elderly Population with an Improved AE-LSTM Model

  1. School of science, Hunan Technology and Business University
  • Online:2022-09-30

摘要: 高龄人口死亡率预测是长寿风险度量和管理、养老金成本和债务评估的基础. 基于高龄人口死亡率数据特征, 本文建立一个AE-LSTM改进模型对高龄人口死亡率进行预测. 首先利用AE模型从高龄人口死亡率数据提取潜在时间因子, 把它作为LSTM模型的输入变量, 然后通过解码得到高龄人口死亡率预测值. 同时, 选取我国大陆1994-2018年60-89岁高龄人口死亡率作为样本数据进行实证分析. 研究结果表明, AE-LSTM改进模型较传统的人口死亡率CBD模型预测精度有显著提高, 且预测结果呈现较强鲁棒性.

关键词: 高龄人口死亡率, AE-LSTM改进模型, CBD模型, 死亡率预测

Abstract: Prediction of mortality of the elderly population is the basis of longevity risk measurement and management, assessment of pension cost and debt. Based on the characteristics of mortality data of the elderly population, an improved AE-LSTM model is proposed to predict the mortality of the elderly population. Firstly, the AE model is used to extract the potential time factor from the mortality data of the elderly population. Then, the potential time factor is used as the input variable of the LSTM model. The mortality prediction value of the elderly population is obtained by decoding the AE model. At the same time, the mortality rate of the elderly aged 60-89 in China mainland from 1994 to 2018 is selected as the sample data for empirical analysis. The results show that the prediction accuracy of the improved AE-LSTM model is significantly higher than that of the traditional CBD model, and the prediction results show strong robustness.

Key words: Mortality rate of elderly population, Improved AE-LSTM model, CBD model, Prediction of mortality