主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院

中国管理科学 ›› 2024, Vol. 32 ›› Issue (2): 307-314.doi: 10.16381/j.cnki.issn1003-207x.2022.0599

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基于状态转移回归的动态集成时序预测方法

冯倩倩1,孙晓蕾2,郝俊3()   

  1. 1.山东大学管理学院,山东 济南 250100
    2.中国科学院科技战略咨询研究院,北京 100190
    3.中国科学院大学经济与管理学院,北京 100190
  • 收稿日期:2022-03-26 修回日期:2022-04-01 出版日期:2024-02-25 发布日期:2024-03-06
  • 通讯作者: 郝俊 E-mail:haojun@ucas.ac.cn
  • 基金资助:
    国家自然科学基金项目(72071197);中国博士后科学基金项目(2023T160635)

Dynamic Ensemble Time Series Forecasting Model Based on Regime-switching Regression

Qianqian Feng1,Xiaolei Sun2,Jun Hao3()   

  1. 1.School of Management, Shandong University, Jinan 250100, China
    2.Institutes of Science and Development, Chinese Academy of Sciences, Beijing 100190, China
    3.School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China
  • Received:2022-03-26 Revised:2022-04-01 Online:2024-02-25 Published:2024-03-06
  • Contact: Jun Hao E-mail:haojun@ucas.ac.cn

摘要:

最优模型子集的确定和集成权重的设置是组合预测中的两个重要问题,直接关系到组合模型的预测表现。为此,本文提出了一个基于状态转移回归的动态集成时序预测方法,首先基通过计算单体模型和原始数据之间的互信息确定最优模型子集;其次,通过状态转移回归实现单体模型的动态集成,并获得最终预测值。通过对9个国家的主权信用违约互换利差数据进行预测实验,本文发现所提出的状态转移组合预测模型表现良好,不仅优于一般单体预测模型和组合预测模型,还优于基于滑动窗口技术的动态组合预测模型。

关键词: 组合预测, 动态集成, 状态转移回归, 互信息

Abstract:

The determination of optimal individual model sets and the setting of ensemble weights are two critical problems for ensemble forecasting, which are related to the prediction performance of the ensemble model. On the one hand, the prediction performance of individual model is unstable and the static ensemble prediction model cannot fully exploit the prediction advantages of individual models; on the other hand, ergodic method to determine the optimal model subset is faced with high computational complexity. To this end, a dynamic ensemble forecasting model is proposed with a regime-switching regression method. First, the optimal individual model set is determined by calculating the mutual information between the individual forecasts and the original data; second, the regime-switching regression is used to ensemble the individual forecasts and get the final prediction values. Through the prediction experiments on the sovereign credit default swaps in nine sample countries, it is found that the proposed regime-switching regression ensemble model performs well, not only better than the individual and combination prediction models but also better than the sliding window technology dynamic combination forecasting model.

Key words: combination forecast, dynamic ensemble, regime-switching, mutual information

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