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Communications in Statistics - Theory and Methods Volume 48, 2019 - Issue 7
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Original Articles

Ratio detection for mean change in α mixing observations

Ruibing QinSchool of Mathematical Science, Shanxi University, Taiyuan, Shanxi, P.R. ChinaCorrespondence[email protected]
&
Weiqi LiuInstitute of Management and Decision, Shanxi University, Taiyuan, Shanxi, P.R. China
Pages 1693-1708 | Received 12 Apr 2017, Accepted 30 Jan 2018, Published online: 23 Feb 2018

References

  • Aue, A., and L. Horváth, 2013. Structural breaks in time series. Journal of Time Series Analysis 34:1–16.
  • Csörgő, M., and L. Horváth, 1997. Limit Theorems in Change Point Analysis. Chichester:Wiley.
  • De Jong, R. M., and J. Davidson, 2000. The functional central limit theorem and weak convergence to stochastic integrals I: weakly dependent and fractionally integrated processes. Econometric Theory 16:621–42.
  • DeJong, R., C. Amsler, and P. Schmidt, 2007. A robust version of the KPSS test based on indicators. Journal of Econometrics 137:311–33.
  • Hawkins, D. M. 1977. Testing a sequence of observations for a shift in location. Journal of the American Statistical Association 72:180–86.
  • Horváth, L., and P. Kokoszka, 2003. A bootstrap approximation to a unit root test statistics for heavy-tailed observations. Statistics and Probability Letters. 62:163–73.
  • Horváth, L., Z. Horváth, and M. Hušková, 2008. Ratio tests for change point detection. Inst Math Stat. 1:293–304
  • Hušková, M. 1996. Tests and estimators for change point problem based on M-statistics. Statistics & Decisions 14:115–36.
  • Hušková, M. 2012. M-procedures for detection of changes for dependent observations. Communications in Statistics: Simulation and Computation 41:1032–50.
  • Mittnik, S., and S. Rachev, 2000. Stable Paretian Models in finance. New York:Wiley.
  • Perron, P. 2006. Dealing with structural breaks, In Palgrave Handbook of Econometrics 1. Econometric Theory 278–352. London:Palgrave Mcmillan.
  • Phillips, P. C. B. 1990. Time Series Regression with a Unit Root and Infinite-Variance Errors. Econometric Theory 6:44–62.
  • Qin, R., and W. Liu, 2015. A robust test for mean change in dependent observations. Journal of Inequalities and its applications 2015:48.
  • Sen, A., and M. S. Srivastava 1975. On tests for detecting change in mean. the Annals of Statistics 3:96–103.
  • Worsley, K. J. 1979. On the likelihood ratio test for a shift in locations of normal populations. Journal of the American Statistical Association 74:365–67.
  • Yao, Y. C. 1987. Approximating the distribution of the ML estimate of the change point in a sequence of independent random variables. the Annals of Statistics 3:1321–28.

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