References
- Bagshaw, M. , and Johnson, R. A. , 1975. The effect of serial correlation on the performance of CUSUM tests II , Technometrics 17 (1975), pp. 73–80.
- Bagshaw, M. Johnson, R. A. , , 1977. Sequential procedures for detecting changes in a time series model , J. Amer. Statist. Assoc. 72 (1977), pp. 593–597.
- Banerjee, A. , and Urga, D. , 2005. Modeling structural breaks, long memory and stock market volatility: an overview , J. Econometrics 129 (2005), pp. 1–34.
- Basseville, M. , and Benveniste, A. , 1983. Sequential detection of abrupt changes in spectral characteristics of digital signals , IEEE Trans. Inform. Theor. 29 (1983), pp. 709–724.
- Basseville, M. , and Nikiforov, I. V. , 1993. Detection of Abrupt Changes: Theory and Applications . Englewood Cliffs, NJ: Prentice Hall; 1993.
- Berkes, I. , Gombay, E. , Horváth, L. , and Kokoszka, P. , 2004. Sequential change-point detection in GARCH(p, q) models , Econometric Theor. 20 (2004), pp. 1140–1167.
- Berkes, I. , Gombay, E. , and Horváth, L. , 2009. Testing for changes in the covariance structure of linear processes , J. Statist. Plann. Infer. 139 (2009), pp. 2044–2063.
- Brockwell, P. J. , and Davis, R. A. , 1991. Time Series, Theory and Methods. . New York: Springer Verlag; 1991.
- Choudhury, A. H. , Hubata, R. , and St. Louis, R. D. , 1999. Understanding time-series regression estimators , Amer. Statist. 53 (1999), pp. 342–348.
- Csörgo, M. , and Révész, P. , 1981. Strong Approximations in Probability and Statistics . New York: Academic Press; 1981.
- Davis, R. A. , Huang, D. , and Yao, Y.-C. , 1995. Testing for a change in the parameter values and order of an autoregressive model , Ann. Statist. 23 (1995), pp. 282–304.
- Eberlein, E. , 1986. On strong invariance principles under dependence assumptions , Ann. Probab. 14 (1986), pp. 260–300.
- Gombay, E. , 2003. Sequential change-point detection and estimation , Sequen. Anal. 22 (2003), pp. 203–222.
- Gombay, E. , 2008. Change detection in autoregressive time series , J. Multivariate Anal. 99 (2008), pp. 451–464.
- Gombay, E. , and Serban, D. , 2005. Edmonton, Canada: University of Alberta; 2005, Monitoring parameter change in AR(p) time series models. Technical Report 05.04. Statistics Centre.
- Gombay, E. , and Serban, D. , 2009. Monitoring parameter change in AR(p) time series models , J. Multivariate Anal. 100 (2009), pp. 715–725.
- Gut, A. , and Steinebach, J. , 2002. Truncated sequential change-point detection based on renewal counting processes , Scand. J. Statist. 29 (2002), pp. 693–719.
- Jiang, W. , Tsui, K. L. , and Woodall, W. H. , 2000. A new SPC monitoring method: the ARMA chart , Technometrics 42 (2000), pp. 339–410.
- Johnson, R. A. , and Bagshaw, M. , 1974. The effect of serial correlation on the performance of CUSUM tests , Technometrics 16 (1974), pp. 103–112.
- Komlós, J. , Major, P. , and Tusnády, G. , 1975. An approximation of partial sums of independent R.V.'s and the sample DF. I , Z. Wahrschein. Verw. Gebiete 32 (1975), pp. 111–131.
- Komlós, J. , Major, P. , and Tusnády, G. , 1976. An approximation of partial sums of independent R.V.'s and the sample DF. II , Z. Wahrschein. Verw. Gebiete 34 (1976), pp. 33–58.
- Lee, S. , Ha, J. , Na, O. , and Na, S. , 2003. The cusum test for parameter change in time series models , Scand. J. Statist. 30 (2003), pp. 781–796.
- O'Brien, P. C. , and Fleming, T. R. , 1979. A multiple testing procedure for clinical trials , Biometrics 35 (1979), pp. 549–556.
- Page, E. S. , 1955. A test for a change in a parameter occurring at an unknown point , Biometrika 42 (1955), pp. 523–527.
- Pocock, S. J. , 1977. Group sequential methods in the design and analysis of clinical trials , Biometrika 64 (1977), pp. 191–199.
- Vostrikova, L. J. , 1981. Detection of a ‘disorder' in a Wiener process , Theor. Probab. Applic. 26 (1981), pp. 356–362.
- Wald, A. , 1947. Sequential Analysis . New York: Wiley; 1947.
- Zhang, A. , Gabrys, R. , and Kokoszka, P. , 2006. Discriminating between long memory and volatility shifts , Austrian J. Statist. 36 (2006), pp. 253–275.