arXiv:2509.22395cs.LG2025-09

混合模型结合递归预测,显著提升小样本死亡率预测精度

Improving accuracy in short mortality rate series: Exploring Multi-step Forecasting Approaches in Hybrid Systems

  • 采用统计模型与机器学习融合的递归预测方法
  • 在12个数据集上,ARIMA-LSTM递归组合误差最低
  • 适合保险、养老金等需长期风险评估的场景

利率下行与经济稳定使死亡率精准预测愈发重要,尤其在保险与养老金领域。多步预测对公共卫生、人口规划和保险风险评估至关重要,但在数据有限时面临挑战。结合统计与机器学习(ML)的混合系统可有效捕捉线性与非线性模式。本研究评估了递归、直接及多输入多输出三种多步预测方法,以及21种不同模型在12个数据集上的表现。结果表明,多步预测方法与机器学习模型的选择对性能影响重大;其中,使用递归策略的ARIMA-LSTM混合模型在多数情况下表现最优。

原文摘要 · Abstract (English)

The decline in interest rates and economic stabilization has heightened the importance of accurate mortality rate forecasting, particularly in insurance and pension markets. Multi-step-ahead predictions are crucial for public health, demographic planning, and insurance risk assessments; however, they face challenges when data are limited. Hybrid systems that combine statistical and Machine Learning (ML) models offer a promising solution for handling both linear and nonlinear patterns. This study evaluated the impact of different multi-step forecasting approaches (Recursive, Direct, and Multi-Input Multi-Output) and ML models on the accuracy of hybrid systems. Results from 12 datasets and 21 models show that the selection of both the multi-step approach and the ML model is essential for improving performance, with the ARIMA-LSTM hybrid using a recursive approach outperforming other models in most cases.

死亡率预测混合模型递归预测时间序列

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