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Inference on Changes in Interdependence Measures

  • Yuzo HosoyaEmail author
  • Kosuke Oya
  • Taro Takimoto
  • Ryo Kinoshita
Chapter
  • 651 Downloads
Part of the SpringerBriefs in Statistics book series (BRIEFSSTATIST)

Abstract

The causal relationship between the time series can be characterized with the moments of distributions for the series and the parameters of models such as the vector ARMA model from previous chapters. Thus, the changes in the moments of the time series and the model parameters suggest the possibility of a change in causal relationships as we expected. However, the changes in the moments and the model parameters do not tell us much about the magnitude of the change in causal relationships. In this chapter, we provide a measure of the change in causal relationships between a time series and the test statistic to determine whether such a change is associated with a structural change and is statistically significant. The properties of the measure and the test statistic are examined through a Monte Carlo simulation, and empirical examples are provided.

Keywords

Change in measure High-frequency data Subsampling Variance estimation 

References

  1. Abhyankar, A. (1999). Linear and nonlinear Granger causality: Evidence from the U.K. stock index futures market. Journal of Futures Markets, 18(5), 519–540.CrossRefGoogle Scholar
  2. Andrews, D. W. K. (1993). Tests for parameter instability and structural change with unknown change point. Econometrica, 61(4), 821–856.CrossRefzbMATHMathSciNetGoogle Scholar
  3. Aono, K., & Iwaisako, T. (2011). Forecasting Japanese stock returns with financial ratios and other variables. Asia-Pacific Financial Markets, 18(4), 373–384.CrossRefGoogle Scholar
  4. Bollerslev, T., Xu, L., & Zhou, H. (2015). Stock return and cash flow predictability: The role of volatility risk. Journal of Econometrics, 187(2), 458–471.CrossRefzbMATHMathSciNetGoogle Scholar
  5. Breitung, J., & Candelon, B. (2006). Testing for short- and long-run causality: A frequency-domain approach. Journal of Econometrics, 132(2), 363–378.CrossRefzbMATHMathSciNetGoogle Scholar
  6. Campbell, J. Y., & Shiller, R. J. (1988). Stock prices, earnings, and expected dividends. Journal of Finance, 43(3), 661–676.CrossRefGoogle Scholar
  7. Carlstein, E. (1986). The use of subseries values for estimating the variance of a general statistic from a stationary sequence. The Annals of Statistics, 14(3), 1171–1179.CrossRefzbMATHMathSciNetGoogle Scholar
  8. Diamond, D. W., & Verrecchia, R. E. (1987). Constraints on short-selling and asset price adjustment to private information. Journal of Financial Economics, 18(2), 277–311.CrossRefGoogle Scholar
  9. Doornik, J. A. (2013). Object-oriented matrix programming using Ox (3rd ed.). London: Timberlake Consultants Press and Oxford. www.doornik.com.
  10. Fleming, J., Ostdiek, B., & Whaley, R. E. (1996). Trading costs and the relative rates of price discovery in stock, futures, and option markets. Journal of Futures Markets, 16(4), 353–387.CrossRefGoogle Scholar
  11. Fukuchi, J. (1999). Subsampling and model selection in time series analysis. Biometrika, 86(3), 591–604.CrossRefzbMATHMathSciNetGoogle Scholar
  12. Hansen, B. E. (1996). Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica, 64(2), 413–430.CrossRefzbMATHMathSciNetGoogle Scholar
  13. Hosoya, Y. (1997). A limit theory for long-range dependence and statistical inference on related models. The Annals of Statistics, 25, 105–137.CrossRefzbMATHMathSciNetGoogle Scholar
  14. Kyle, A. S. (1985). Continuous auctions and insider trading. Econometrica, 53(6), 1315–1335.CrossRefzbMATHGoogle Scholar
  15. Yang, J., Yang, Z., & Zhou, Y. (2012). Intraday price discovery and volatility transmission in stock index and stock index futures markets: Evidence from China. Journal of Finance, 32(2), 99–121.Google Scholar

Copyright information

© The Author(s) 2017

Authors and Affiliations

  • Yuzo Hosoya
    • 1
    Email author
  • Kosuke Oya
    • 2
  • Taro Takimoto
    • 3
  • Ryo Kinoshita
    • 4
  1. 1.Tohoku UniversitySendaiJapan
  2. 2.Osaka UniversityToyonakaJapan
  3. 3.Kyushu UniversityFukuokaJapan
  4. 4.Tokyo Keizai UniversityKokubunjiJapan

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