A Nonparametric Copula Based Test for Conditional Independence with Applications to Granger Causality
Abstract
This paper proposes a new nonparametric test for conditional independence, which is based on the comparison of Bernstein copula densities using the Hellinger distance. The test is easy to implement because it does not involve a weighting function in the test statistic, and it can be applied in general settings since there is no restriction on the dimension of the data. In fact, to apply the test, only a bandwidth is needed for the nonparametric copula. We prove that the test statistic is asymptotically pivotal under the null hypothesis, establish local power properties, and motivate the validity of the bootstrap technique that we use in finite sample settings. A simulation study illustrates the good size and power properties of the test. We illustrate the empirical relevance of our test by focusing on Granger causality using financial time series data to test for nonlinear leverage versus volatility feedback effects and to test for causality between stock returns and trading volume. In a third application, we investigate Granger causality between macroeconomic variables.Download Info
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Paper provided by CIRPEE in its series Cahiers de recherche with number 0927.Length:
Date of creation: 2009
Date of revision:
Handle: RePEc:lvl:lacicr:0927
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Keywords: Nonparametric tests; conditional idependence; Granger non-causality; Bernstein density copula; bootstrap; finance; volatility asymmetry; leverage effect; volatility feedback effect; macroeconomics;Other versions of this item:
- Taoufik Bouezmarni & Jeroen V.K. Rombouts & Abderrahim Taamouti, 2012. "Nonparametric Copula-Based Test for Conditional Independence with Applications to Granger Causality," Journal of Business & Economic Statistics, American Statistical Association, vol. 30(2), pages 275-287, April.
- Bouezmarni, Taoufik & Rombouts, Jeroen V. K. & Taamouti, Abderrahim, . "A nonparametric copula based test for conditional independence with applications to granger causality," Open Access publications from Universidad Carlos III de Madrid info:hdl:10016/4491, Universidad Carlos III de Madrid.
- Taoufik Bouezmarni & Jeroen Rombouts & Abderrahim Taamouti, 2009. "A Nonparametric Copula Based Test for Conditional Independence with Applications to Granger Causality," CIRANO Working Papers 2009s-28, CIRANO.
- BOUEZMARNI, Taoufik & ROMBOUTS, Jeroen & TAAMOUTI, Abderrahim, 2009. "A nonparametric copula based test for conditional independence with applications to Granger causality," CORE Discussion Papers 2009041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Taoufik Bouezmarni & Jeroen V. K. Rombouts & Abderrahim Taamouti, 2009. "A nonparametric copula based test for conditional independence with applications to granger causality," Economics Working Papers we093419, Universidad Carlos III, Departamento de Economía.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
- G1 - Financial Economics - - General Financial Markets
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
- E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
- E4 - Macroeconomics and Monetary Economics - - Money and Interest Rates
- E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-09-26 (All new papers)
- NEP-ECM-2009-09-26 (Econometrics)
- NEP-ETS-2009-09-26 (Econometric Time Series)
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Jesús Gonzalo & Abderrahim Taamouti, 2011.
"The reaction of stock market returns to anticipated unemployment,"
Economics Working Papers
we1145, Universidad Carlos III, Departamento de Economía.
- Jesús Gonzalo & AbderrahimTaamouti, 2012. "The reaction of stock market returns to anticipated unemployment," Economics Working Papers we1237, Universidad Carlos III, Departamento de Economía.
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