Non-parametric Determination of Real-Time Lag Structure between Two Time Series: the "Optimal Thermal Causal Path" Method
We introduce a novel non-parametric methodology to test for the dynamical time evolution of the lag-lead structure between two arbitrary time series. The method consists in constructing a distance matrix based on the matching of all sample data pairs between the two time series. Then, the lag-lead structure is searched as the optimal path in the distance matrix landscape that minimizes the total mismatch between the two time series, and that obeys a one-to-one causal matching condition. To make the solution robust to the presence of large noise that may lead to spurious structures in the distance matrix landscape, we then generalize this optimal search by introducing a fuzzy search by sampling over all possible paths, each path being weighted according to a multinomial logit or equivalently Boltzmann factor proportional to the exponential of the global mismatch of this path. We present the efficient transfer matrix method that solves the problem and test it on simple synthetic examples to demonstrate its properties and usefulness compared with the standard running-time cross-correlation method. We then apply our `Optimal Thermal Causal Path'' method to the question of the causality between ......
|Date of creation:||Aug 2004|
|Date of revision:|
|Publication status:||Published in Quantitative Finance 5, 577-591 (2005). See also Journal of Macroeconomics 28, 195-224 (2006) for more details on the methodology.|
|Contact details of provider:|| Web page: http://arxiv.org/|
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- D. Sornette & A. Johansen, 2001. "Significance of log-periodic precursors to financial crashes," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 452-471.
- Robert J. Barro, 1995.
"Inflation and Economic Growth,"
NBER Working Papers
5326, National Bureau of Economic Research, Inc.
- D. Sornette & A. Johansen, 2001. "Significance of log-periodic precursors to financial crashes," Papers cond-mat/0106520, arXiv.org.
- Fischer, Stanley, 1974. "Money and the Production Function," Economic Inquiry, Western Economic Association International, vol. 12(4), pages 517-33, December.
- Neil R. Ericsson & John S. Irons & Ralph W. Tryon, 2001.
"Output and inflation in the long run,"
Journal of Applied Econometrics,
John Wiley & Sons, Ltd., vol. 16(3), pages 241-253.
- Neil R. Ericsson & John S. Irons & Ralph W. Tryon, 2000. "Output and inflation in the long run," International Finance Discussion Papers 687, Board of Governors of the Federal Reserve System (U.S.).
- Neil R. Ericsson & John S. Irons & Ralph W. Tryon, 2000. "Output and Inflation in the Long Run," Amherst Economic Papers 2000.01, Amherst College, Department of Economics, revised 24 Oct 2000.
- Gary Shelley & Frederick Wallace, 2004. "Inflation, money, and real GDP in Mexico: a causality analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 11(4), pages 223-225.
- Kevin J. Lansing, 2000. "Exploring the causes of the Great Inflation," FRBSF Economic Letter, Federal Reserve Bank of San Francisco, issue jul7.
- Chamberlain, Gary, 1982. "The General Equivalence of Granger and Sims Causality," Econometrica, Econometric Society, vol. 50(3), pages 569-81, May.
- Geweke, John, 1984. "Inference and causality in economic time series models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 19, pages 1101-1144 Elsevier.
- Hyeon-seung Huh, 2002. "Estimating Asymmetric Output Cost of Lowering Inflation for Australia," Southern Economic Journal, Southern Economic Association, vol. 68(3), pages 600-616, January.
- Strozzi, Fernanda & Zaldı́var, José-Manuel & Zbilut, Joseph P, 2002. "Application of nonlinear time series analysis techniques to high-frequency currency exchange data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 312(3), pages 520-538.
- Hatemi-J, Abdulnasser & Irandoust, Manuchehr, 2002. "On the Causality between Exchange Rates and Stock Prices: A Note," Bulletin of Economic Research, Wiley Blackwell, vol. 54(2), pages 197-203, April.
- Didier Sornette & Wei-Xing Zhou, 2002. "The US 2000-2002 market descent: How much longer and deeper?," Quantitative Finance, Taylor & Francis Journals, vol. 2(6), pages 468-481.
- Fama, Eugene F, 1982. "Inflation, Output, and Money," The Journal of Business, University of Chicago Press, vol. 55(2), pages 201-31, April.
- Ashley, R & Granger, C W J & Schmalensee, R, 1980. "Advertising and Aggregate Consumption: An Analysis of Causality," Econometrica, Econometric Society, vol. 48(5), pages 1149-67, July.
- Fountas, Stilianos & Karanasos,Menelaos, 2001.
"Inflation and Output Growth Uncertainty and their Relationship with Inflation and Output Growth,"
0053, National University of Ireland Galway, Department of Economics, revised 2001.
- Fountas, Stilianos & Karanasos, Menelaos & Kim, Jinki, 2002. "Inflation and output growth uncertainty and their relationship with inflation and output growth," Economics Letters, Elsevier, vol. 75(3), pages 293-301, May.
- Apergis, Nicholas, 2004. "Inflation, output growth, volatility and causality: evidence from panel data and the G7 countries," Economics Letters, Elsevier, vol. 83(2), pages 185-191, May.
- D. Sornette & W. -X. Zhou, 2002. "The US 2000-2002 Market Descent: How Much Longer and Deeper?," Papers cond-mat/0209065, arXiv.org.
- Hyeon-Seung Huh & Hyun-Hoon Lee, 2002. "Asymmetric output cost of lowering inflation: empirical evidence for Canada," Canadian Journal of Economics, Canadian Economics Association, vol. 35(2), pages 218-238, May.
- Robert Mundell, 1963. "Inflation and Real Interest," Journal of Political Economy, University of Chicago Press, vol. 71, pages 280.
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