Nonparametric estimation and inference for conditional density based Granger causality measures
We propose a nonparametric estimation and inference for conditional density based Granger causality measures that quantify linear and nonlinear Granger causalities. We first show how to write the causality measures in terms of copula densities. Thereafter, we suggest consistent estimators for these measures based on a consistent nonparametric estimator of copula densities. Furthermore, we establish the asymptotic normality of these nonparametric estimators and discuss the validity of a local smoothed bootstrap that we use in finite sample settings to compute a bootstrap bias-corrected estimator and to perform statistical tests. A Monte Carlo simulation study reveals that the bootstrap bias-corrected estimator behaves well and the corresponding test has quite good finite sample size and power properties for a variety of typical data generating processes and different sample sizes. Finally, two empirical applications are considered to illustrate the practical relevance of nonparametric causality measures.
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- Deirdre N. McCloskey & Stephen T. Ziliak, 1996. "The Standard Error of Regressions," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 97-114, March.
- John H. Cochrane, 1999.
"New facts in finance,"
Federal Reserve Bank of Chicago, issue Q III, pages 36-58.
- John H. Cochrane, 1999. "New Facts in Finance," NBER Working Papers 7169, National Bureau of Economic Research, Inc.
- John H. Cochrane, 1999. "New Facts in Finance," CRSP working papers 490, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Meitz, Mika & Saikkonen, Pentti, 2008. "Ergodicity, Mixing, And Existence Of Moments Of A Class Of Markov Models With Applications To Garch And Acd Models," Econometric Theory, Cambridge University Press, vol. 24(05), pages 1291-1320, October.
- Meitz, Mika & Saikkonen, Pentti, 2004. "Ergodicity, mixing, and existence of moments of a class of Markov models with applications to GARCH and ACD models," SSE/EFI Working Paper Series in Economics and Finance 573, Stockholm School of Economics, revised 20 Apr 2007.
- Mika Meitz & Pentti Saikkonen, 2007. "Ergodicity, mixing, and existence of moments of a class of Markov models with applications to GARCH and ACD models," Economics Series Working Papers 327, University of Oxford, Department of Economics.
- Granger, Clive W. J. & Huangb, Bwo-Nung & Yang, Chin-Wei, 2000. "A bivariate causality between stock prices and exchange rates: evidence from recent Asianflu," The Quarterly Review of Economics and Finance, Elsevier, vol. 40(3), pages 337-354.
- Granger, Clive W.J. & Huang, Bwo-Nung & Yang, Chin W., 1998. "A Bivariate Causality between Stock Prices and Exchange Rates: Evidence from Recent Asia Flu," University of California at San Diego, Economics Working Paper Series qt9bk607p6, Department of Economics, UC San Diego.
- Tim Bollerslev & George Tauchen & Hao Zhou, 2009. "Expected Stock Returns and Variance Risk Premia," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4463-4492, November.
- Tim Bollerslev & Hao Zhou, 2006. "Expected stock returns and variance risk premia," Finance and Economics Discussion Series 2007-11, Board of Governors of the Federal Reserve System (U.S.).
- Tim Bollerslev & Tzuo Hao & George Tauchen, 2008. "Expected Stock Returns and Variance Risk Premia," CREATES Research Papers 2008-48, Department of Economics and Business Economics, Aarhus University.
- Tim Bollerslev & Hao Zhou, 2007. "Expected Stock Returns and Variance Risk Premia," CREATES Research Papers 2007-17, Department of Economics and Business Economics, Aarhus University.
- Bruce M. Brown, 1999. "Beta-Bernstein Smoothing for Regression Curves with Compact Support," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 26(1), pages 47-59.
- Campbell, John Y., 1999. "Asset prices, consumption, and the business cycle," Handbook of Macroeconomics,in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 19, pages 1231-1303 Elsevier.
- John Y. Campbell, 1998. "Asset Prices, Consumption, and the Business Cycle," NBER Working Papers 6485, National Bureau of Economic Research, Inc.
- repec:taf:jnlbes:v:30:y:2012:i:2:p:275-287 is not listed on IDEAS
- Nieh, Chien-Chung & Lee, Cheng-Few, 2001. "Dynamic relationship between stock prices and exchange rates for G-7 countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 41(4), pages 477-490.
- Issam Abdalla & Victor Murinde, 1997. "Exchange rate and stock price interactions in emerging financial markets: evidence on India, Korea, Pakistan and the Philippines," Applied Financial Economics, Taylor & Francis Journals, vol. 7(1), pages 25-35.
- Sancetta, Alessio & Satchell, Stephen, 2004. "The Bernstein Copula And Its Applications To Modeling And Approximations Of Multivariate Distributions," Econometric Theory, Cambridge University Press, vol. 20(03), pages 535-562, June.
- Dufour, Jean-Marie & Taamouti, Abderrahim, 2010. "Short and long run causality measures: Theory and inference," Journal of Econometrics, Elsevier, vol. 154(1), pages 42-58, January.
- Taamouti, Abderrahim & Dufour, Jean-Marie, 2008. "Short and long run causality measures: theory and inference," UC3M Working papers. Economics we083720, Universidad Carlos III de Madrid. Departamento de Economía.
- Bouezmarni, Taoufik & Rombouts, Jeroen V.K. & Taamouti, Abderrahim, 2010. "Asymptotic properties of the Bernstein density copula estimator for [alpha]-mixing data," Journal of Multivariate Analysis, Elsevier, vol. 101(1), pages 1-10, January.
- BOUEZMARNI, Taoufik & ROMBOUTS, Jeroen VK & TAAMOUTI, Abderrahim, "undated". "Asymptotic properties of the Bernstein density copula estimator for alpha-mixing data," CORE Discussion Papers RP 2302, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Shurong Zheng & Ning-Zhong Shi & Zhengjun Zhang, 2012. "Generalized Measures of Correlation for Asymmetry, Nonlinearity, and Beyond," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 107(499), pages 1239-1252, September.
- Pastor, Lubos & Stambaugh, Robert F., 2003. "Liquidity Risk and Expected Stock Returns," Journal of Political Economy, University of Chicago Press, vol. 111(3), pages 642-685, June.
- Luboš Pástor & Robert F. Stambaugh, "undated". "Liquidity Risk and Expected Stock Returns," CRSP working papers 531, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Lubos Pastor & Robert F. Stambaugh, 2001. "Liquidity Risk and Expected Stock Returns," NBER Working Papers 8462, National Bureau of Economic Research, Inc.
- Pástor, Luboš & Stambaugh, Robert F., 2002. "Liquidity Risk and Expected Stock Returns," CEPR Discussion Papers 3494, C.E.P.R. Discussion Papers.
- Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
- repec:wop:ubisop:0088 is not listed on IDEAS
- Lewellen, Jonathan, 2004. "Predicting returns with financial ratios," Journal of Financial Economics, Elsevier, vol. 74(2), pages 209-235, November.
- Chen, Xiaohong & Fan, Yanqin, 2006. "Estimation of copula-based semiparametric time series models," Journal of Econometrics, Elsevier, vol. 130(2), pages 307-335, February.
- repec:adr:anecst:y:1987:i:6-7:p:17 is not listed on IDEAS
- Efstathios Paparoditis & Dimitris Politis, 2000. "The Local Bootstrap for Kernel Estimators under General Dependence Conditions," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(1), pages 139-159, March.
- Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
- Carrasco, Marine & Chen, Xiaohong, 2002. "Mixing And Moment Properties Of Various Garch And Stochastic Volatility Models," Econometric Theory, Cambridge University Press, vol. 18(01), pages 17-39, February. Full references (including those not matched with items on IDEAS)
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