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Multivariate linear and nonlinear causality tests
Authors:Zhidong Bai  Wing-Keung Wong  Bingzhi Zhang
Affiliation:a School of Mathematics and Statistics, Northeast Normal University, China
b Department of Statistics and Applied Probability, 3 National University of Singapore, Singapore
c Department of Economics and Institute for Computational Mathematics, Hong Kong Baptist University, Hong Kong, China
d Department of BioStatistics, Columbia University, United States
Abstract:The traditional linear Granger test has been widely used to examine the linear causality among several time series in bivariate settings as well as multivariate settings. Hiemstra and Jones [19] develop a nonlinear Granger causality test in bivariate settings to investigate the nonlinear causality between stock prices and trading volume. This paper extends their work by developing a nonlinear causality test in multivariate settings.
Keywords:Linear Granger causality   Nonlinear Granger causality   U-statistics
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