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向量自回归模型Granger因果图的条件互信息辨识与应用
引用本文:魏岳嵩,田铮,陈占寿.向量自回归模型Granger因果图的条件互信息辨识与应用[J].控制理论与应用,2011,28(7):979-986.
作者姓名:魏岳嵩  田铮  陈占寿
作者单位:1. 西北工业大学应用数学系,陕西西安710129 淮北师范大学数学科学学院,安徽淮北235000
2. 西北工业大学应用数学系,陕西西安,710129
基金项目:国家自然科学基金资助项目(60375003, 10926197).
摘    要:Grangerl因果性是衡量系统变量间动态关系的重要依据.传统的两变量Grangerl因果分析法容易产生伪因果关系,且不能刻画变量间的即时因果性.本文利用图模型方法研究时间序列变量间的Grangerl因果关系,建立了时间序列Granger因果图,提出Grangerl因果图的条件互信息辨识方法,利用混沌理论中的关联积分估计条件互信息,统计量的显著性由置换检验确定.仿真结果证实了方法的有效性,并利用该方法研究了空气污染指标以及中国股市间的Grangerl因果关系.

关 键 词:Granger因果图  多维时间序列  条件互信息  关联积分  置换检验
收稿时间:2010/6/30 0:00:00
修稿时间:2011/2/23 0:00:00

Identification and application about Granger causality graph of vector autoregressive model using conditional mutual information
WEI Yue-song,TIAN Zheng and CHEN Zhan-shou.Identification and application about Granger causality graph of vector autoregressive model using conditional mutual information[J].Control Theory & Applications,2011,28(7):979-986.
Authors:WEI Yue-song  TIAN Zheng and CHEN Zhan-shou
Affiliation:Department of Applied Mathematics, Northwest Polytechnical University; School of Mathematical Science, Huaibei Normal University,Department of Applied Mathematics, Northwest Polytechnical University,Department of Applied Mathematics, Northwest Polytechnical University
Abstract:The Granger Causality is an important basis for measuring the dynamic relationships among system variables. Traditional two-variable Granger causality analysis method is prone to inducing spurious causal relationship and can not portray the immediate causal relationship.This paper explores how to use graphical models method to analyze the Granger causal relations among components of multivariate time series.Granger causality graph of time series is presented. The structural identification of Granger causali...
Keywords:Granger causality graph  multivariate time series  conditional mutual information  correlation integral  permutation tests
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