基于共振思想的变点检测及形成机理研究OACHSSCD
Research on Change Point Detection and Formation Mechanism Based on Resonance Theory
由于数据变点具有难以充分观测的特性和极为复杂的生成机理,因此对变点进行检测存在诸多困难.对此,文章以股票市场指数和商品市场指数的对数收益率为研究对象,依据物理学共振思想,利用互补集合经验模态分解方法,分析主要影响因子的瞬态特征参数,确定共振因子,并依据共振因子设计数据变点的频域检测方法,探究变点形成机理.研究发现,不同影响因子的瞬态特征参数在变点形成时刻具有特定关系,利用这种关系可以检测变点.并且,可以认为系统对应成分之间的共振效应是形成变点的主要原因.
Due to the fact that data change points are characterized by difficulty to be fully observed and also have extremely complex generation mechanisms,there exist many difficulties in detecting change points.In view of this,the paper takes the loga-rithmic rate of return of stock market index and commodity market index as research objects,depends on the resonance theory of physics,uses Complementary Ensemble Empirical Mode Decomposition to analyze the transient characteristic parameters of the main influencing factors,and determine the resonance factors.Finally,based on resonance factors,the paper designs a frequency domain detection method for data change points to explore the mechanism of change point formation.The research findings are as follows:The transient characteristic parameters of different influencing factors have specific relationships at the time of change point formation,which can be used to detect change points.Moreover,it can be considered that the resonance effect between the corresponding components of the system is the main cause of the formation of change points.
郭建平
南京信息工程大学 管理工程学院,南京 210044
社会科学
共振变点检测频域检测互补集合经验模态分解
resonancedetection of change pointsfrequency domain detectioncomplementary ensemble empirical mode decomposition
《统计与决策》 2026 (11)
57-63,7
国家社会科学基金一般项目(22BTJ061)
评论