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Title:A consistent nonparametric test for causality in quantile PDF Logo
Authors:Jeong, Kiho
Härdle, Wolfgang Karl
Issue Date:2008
Series/Report no.:SFB 649 discussion paper 2008,007
Abstract:This paper proposes a nonparametric test of causality in quantile. Zheng (1998) has proposed an idea to reduce the problem of testing a quantile restriction to a problem of testing a particular type of mean restriction in independent data. We extend Zheng’s approach to the case of dependent data, particularly to the test of Granger causality in quantile. The proposed test statistic is shown to have a second-order degenerate U-statistic as a leading term under the null hypothesis. Using the result on the asymptotic normal distribution for a general second order degenerate U-statistics with weakly dependent data of Fan and Li (1996), we establish the asymptotic distribution of the test statistic for causality in quantile under ?-mixing (absolutely regular) process.
Subjects:Granger Causality , Quantile , Nonparametric Test
JEL:C14
C52
Document Type:Working Paper
Appears in Collections:SFB 649 Discussion Papers, HU Berlin

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