Serial rank statistics for detection of changes

Statistics and Probability Letters

Volumn 61, Issue 2, 2003, Pages 199-213

  Huskova M ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

AR sequences; Change point detection; Independence; Serial rank statistics

Indexed keywords

EID: 0037437818     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(02)00352-8     Document Type: Article

References (27)

1. Bai, J., 1993. On the partial sums of residuals in autoregressive and moving average models. J. Time Series Anal. 14, 247-260.
2. Bai, J., 1994. Weak convergence of the empirical processes of residuals in ARMA models. Ann. Statist. 22, 2051-2061.
3. Bagshaw, M., Johnson, R.A., 1977. Sequential procedures for detecting parameter changes in a time-series model. J. Amer. Statist. Assoc. 72, 593-597.
4. Beran, J., Terrin, N., 1996. Testing for a change of the long-memory parameter. Biometrika 83, 627-638.
5. Brodsky, B.E., Darkhovsky, B.S., 2000. Non-Parametric Statistical Diagnosis; Problems and Methods. Kluwer Academic Publishers, Dordrecht.
6. Chen, J., Gupta, A., 2000. Parametric Statistical Change Point Analysis. Birkhäuser, Boston.
7. Chow, Y.S., Teicher, H., 1988. Probability Theory. Springer, New York.
8. Csörgo, M., Horváth, L., 1997. Limit Theorems in Change-Point Analysis. Wiley, New York.
9. Csörgo, M., Révész, P., 1981. Strong Approximations in Probability and Statistics. Academic Press, New York.
10. Davis, R.A., Huang, D., Yao, Y.-C., 1995. Testing for a change in parameter values and order of an autoregressive model. Ann. Statist. 23, 282-304.
11. Giraitis, L., Leipus, R., 1990. A functional CLT for nonparametric estimates of spectra and change point problem and spectral function. Liet. Mat. Rink. 30, 674-697.
12. Giraitis, L., Leipus, R., 1992. Testing and estimating in the change-point problem of the spectral function. Liet. Mat. Rink. 32, 20-38.
13. Giraitis, L., Leipus, R., Surgailis, D., 1996. The change-point problem for dependent observations. J. Statist. Plann. Infer. 53, 297-310.
14. Hallin, M., Puri, M.L., 1992. Rank tests for time series analysis; a survey. In: Brillinger, D., Caines, P., Geweke, J., Parzen, E., Taqqu, M.S. (Eds.), New Directions in Time Series Analysis, Part I, IMA Vol. Math. Appl., Vol. 45. Springer, New York, pp. 111-153.
15. Hallin, M., Werker, B.J.M., 1999. Optimal testing for semiparametric AR models-from Gaussian Langrange multipliers autoregression rank scores and adaptive tests. In: Ghosh, S. (Ed. ), Asymptotics, Nonparametrics, and Time Series. Marcel Dekker, Inc, New York, pp. 295-350.
16. Hallin, M., Ingenbleek, J.-Fr., Puri, L., 1987. Linear and quadratic serial rank tests for randomness against serial dependence. J. Time Series Anal. 8, 409-424.
17. Hauesler, E., Mason, D.M., Turova, T.S., 2000. A study of serial ranks via random graphs. Bernoulli 6, 541-569.
18. Hawkins, D.L., 1989. A U-I approach to retrospective testing for shift parameters in a linear model. Comm. Statist.-Theory Method 18, 3117-3134.
19. Horváth, L., 1993. Change in autoregressive models. Stoch. Proc. Appl. 44, 221-242.
20. Horváth, L., 2001. Change-point detection in long-memory process. J. Multivariate Anal. 78, 218-234.
21. Horváth, L., Kokoszka, P., 1997. The effect of long-range dependence on change-point estimators. J. Statist. Plann. Infer. 64, 57-81.
22. Hušková, M., 1997. Limit theorems for rank statistics. Statist. Probab. Lett. 32, 45-55.
23. Kokoszka, P., Leipus, R., 2000. Change-point estimation in ARCH models. Bernoulli 6, 513-539.
24. Kokoszka, P., Leipus, R., 2002. Detection and estimation of changes in regime. In: Doukhan, P., Oppenheim, G., Taqqu, M.S. (Eds.), Long-Range Dependence: Theory and Application. Birkhäuser, Boston. to appear.
25. Picard, D., 1985. Testing and estimating change-points in time series. Adv. Appl. Probab. 17, 841-867.
26. Strassen, V., 1967. Almost sure behavior of sums of independent random variables and martingales. In: Le Cam, et al. (Eds.), Proceedings of the Fifth Berkeley Symposium Mathematics Statistics and Probability, Vol. 2, Los Angeles: University California Press, Berkeley, CA, pp. 315-343.
27. Wald, A., Wolfowitz, J., 1943. An exact test for randomness in the nonparametric case based on serial correlation. Ann. Math. Statist. 14, 378-388.