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Distribution switching in financial time series

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  • Fukuda, Kosei

Abstract

A new method for detecting regime switches between different probability distributions in financial time series is shown. In the proposed method, time series observations are divided into several segments, and a Gaussian model or a Cauchy model is fitted to each segment. The goodness of fit of the global model composed of these local models is evaluated using the Bayesian information criterion (BIC), and the division which minimizes this criterion defines the best model. Based on this method, for example, the specification with a Gaussian process in the first half and with a Cauchy process in the second half becomes applicable. Empirical applications and data-based simulations are presented to indicate the efficacy of the proposed method.

Suggested Citation

  • Fukuda, Kosei, 2009. "Distribution switching in financial time series," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1711-1720.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:5:p:1711-1720
    DOI: 10.1016/j.matcom.2008.08.012
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    1. Cragg, John G. & Donald, Stephen G., 1997. "Inferring the rank of a matrix," Journal of Econometrics, Elsevier, vol. 76(1-2), pages 223-250.
    2. Carr, Peter & Wu, Liuren, 2004. "Time-changed Levy processes and option pricing," Journal of Financial Economics, Elsevier, vol. 71(1), pages 113-141, January.
    3. Fukuda, Kosei, 2005. "Unit-root detection allowing for measurement error," Statistics & Probability Letters, Elsevier, vol. 74(4), pages 373-377, October.
    4. Turner, Christopher M. & Startz, Richard & Nelson, Charles R., 1989. "A Markov model of heteroskedasticity, risk, and learning in the stock market," Journal of Financial Economics, Elsevier, vol. 25(1), pages 3-22, November.
    5. Goldfeld, Stephen M. & Quandt, Richard E., 1973. "A Markov model for switching regressions," Journal of Econometrics, Elsevier, vol. 1(1), pages 3-15, March.
    6. Chen, Shyh-Wei, 2007. "Measuring business cycle turning points in Japan with the Markov Switching Panel model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(4), pages 263-270.
    7. Garcia, Rene & Perron, Pierre, 1996. "An Analysis of the Real Interest Rate under Regime Shifts," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 111-125, February.
    8. Gray, Stephen F., 1996. "Modeling the conditional distribution of interest rates as a regime-switching process," Journal of Financial Economics, Elsevier, vol. 42(1), pages 27-62, September.
    9. Ait-Sahalia, Yacine, 2004. "Disentangling diffusion from jumps," Journal of Financial Economics, Elsevier, vol. 74(3), pages 487-528, December.
    10. Hamilton, James D., 1988. "Rational-expectations econometric analysis of changes in regime : An investigation of the term structure of interest rates," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 385-423.
    11. Jingzhi Huang & Liuren Wu, 2004. "Specification Analysis of Option Pricing Models Based on Time- Changed Levy Processes," Finance 0401002, University Library of Munich, Germany.
    12. Breunig, Robert V & Pagan, Adrian R, 2004. "Do Markov-switching models capture nonlinearities in the data?," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(3), pages 401-407.
    13. Smith, V Kerry, 1973. "Least Squares Regression with Cauchy Errors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 35(3), pages 223-231, August.
    14. Hamilton, James D. & Susmel, Raul, 1994. "Autoregressive conditional heteroskedasticity and changes in regime," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 307-333.
    15. Jushan Bai & Pierre Perron, 2003. "Computation and analysis of multiple structural change models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(1), pages 1-22.
    16. Sebastian Edwards & Raul Susmel, 2003. "Interest-Rate Volatility in Emerging Markets," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 328-348, May.
    17. Gonzalo, Jesus & Pitarakis, Jean-Yves, 2002. "Estimation and model selection based inference in single and multiple threshold models," Journal of Econometrics, Elsevier, vol. 110(2), pages 319-352, October.
    18. Kosei Fukuda, 2007. "Simulated real-time detection of multiple structural changes: Evidence from Japanese economic growth," Statistical Papers, Springer, vol. 48(4), pages 559-580, October.
    19. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    20. Jing-zhi Huang & Liuren Wu, 2004. "Specification Analysis of Option Pricing Models Based on Time-Changed Lévy Processes," Journal of Finance, American Finance Association, vol. 59(3), pages 1405-1440, June.
    21. Chen, Shyh-Wei, 2006. "Simultaneously modeling the volatility of the growth rate of real GDP and determining business cycle turning points: Evidence from the U.S., Canada and the UK," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(2), pages 87-102.
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    1. Reis dos Santos, M. Isabel & Reis dos Santos, Pedro M., 2016. "Switching regression metamodels in stochastic simulation," European Journal of Operational Research, Elsevier, vol. 251(1), pages 142-147.

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