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多维时间序列Granger因果图Markov性
引用本文:魏岳嵩.多维时间序列Granger因果图Markov性[J].淮北煤炭师范学院学报(自然科学版),2014(3):6-9.
作者姓名:魏岳嵩
作者单位:淮北师范大学 数学科学学院,安徽 淮北,235000
摘    要:文章利用Granger因果图表示多维时间变量序列间的因果关系,图中的顶点集由序列的各个分量组成,顶点间的有向边表示分量序列间的Granger因果关系,无向边表示分量间的同期因果关系.建立Granger因果图的p-分离准则,研究Granger因果图的Markov性.

关 键 词:Granger因果图  多维时间序列  p-分离准则  Markov性

Markov Properties of Multivariate Time Series Granger Causality Graphs
WEI Yue-song.Markov Properties of Multivariate Time Series Granger Causality Graphs[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2014(3):6-9.
Authors:WEI Yue-song
Institution:WEI Yue-song (School of Mathematical Sciences,Huaibei Normal University, 235000, Huaibei ,Anhui, China)
Abstract:In this paper,we use Granger causality graphs to present the causal relationships of sequence of variables of multivariate time series. In the graphs,the component series constitute the vertex set,while the di-rected edges denote the Granger causality relationships and undirected edges correspond to contemporaneous causality relationships. We construct the p-separated criterion and discuss the Markov properties of Grang-er causality graphs.
Keywords:Granger causality graph  multivariate time series  p-separated criterion  Markov properties
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