Nonparametric M-estimation with long-memory errors

Journal of Statistical Planning and Inference

Volumn 117, Issue 2, 2003, Pages 199-205

  Beran, Jan ^a   Ghosh, Sucharita ^c   Sibbertsen, Philipp ^b  

^a UNIVERSITY OF KONSTANZ   (Germany)

^b TU DORTMUND UNIVERSITY   (Germany)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041382642     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(02)00391-9     Document Type: Article

References (19)

1. Beran J. M estimators of location for Gaussian and related processes with slowly decaying serial correlations J. Amer. Statist. Assoc. 86 1991 704-707
2. Beran J. Statistical methods for data with long-range dependence Statist. Sci. 7 1992 404-427
3. Beran J. Statistics for Long-memory Processes 1994 Chapman & Hall New York
4. Beran, J., 1999. SEMIFAR models-a semiparametric framework for modelling trends, long range dependence and nonstationarity. Discussion Paper of the Center of Finance and Econometrics, No. 99/16, June, 1999.
5. Billingsley P. Convergence of Probability Measures 1968 Wiley New York
6. Boente G. Fraiman R. Robust nonparametric regression estimation for dependent observations Ann. Statist. 17 1989 1242-1256
7. Cox, D.R., 1984. Long-range dependence: a review. In: David, H.A., David, H.T. (Eds.), Statistics: An Appraisal, Proceedings of the 50th Anniversary Conference. Iowa State University Press, Ames, IA, pp. 55-74.
8. Csörgö S. Mielniczuk J. Nonparametric regression under long-range dependent normal errors Ann. Statist. 23 1995 1000-1014
9. Ghosh S. Nonparametric trend estimation in replicated time series J. Statist. Plann. Infer. 97 2001 263-274
10. Granger C. Joyeux R. An introduction to long-range time series models and fractional differencing J. Time Ser. Anal. 1 1980 15-30
11. Hall P. Hart J.D. Convergence rates in density estimation for data from infinite-order moving average processes Probab. Theory Related Fields 87 1990 253-274
12. Härdle W. Asymptotic maximal deviation of M-smoothers J. Multivariate Anal. 29 1989 163-179
13. Hosking J.R.M. Fractional differencing Biometrika 68 1981 165-176
14. Mandelbrot B.B. van Ness J.W. Fractional Brownian motions, fractional noises and applications SIAM Rev. 10 4 1968 422-437
15. Robinson, P.M., 1984. Robust nonparametric regression. In: Franke, J., Härdle, W., Martin, D. (Eds.), Robust and Nonlinear Time Series Analysis, Lecture Notes in Statistics, Vol. 26. Springer, Berlin, pp. 247-255.
16. Rosenblatt, M., 1984. Stochastic processes with short-range and long-range dependence. In: David, H.A., David, H.T. (Eds.), Statistics: An Appraisal, Proceedings of the 50th Anniversary Conference. The Iowa State University Press, Ames, IA, pp. 509-520.
17. Sibbertsen, P., 1999. Robuste Parameterschätzung im linearen Regressionsmodell bei Fehlertermen mit langem Gedächtnis, Verlag für Wissenschaft und Forschung, Berlin (in German).
18. Taqqu M.S. Weak convergence to fractional Brownian motion and to the Rosenblatt process Probab. Theory Related Fields 31 1975 287-302
19. Taqqu M.S. Convergence of integrated processes of arbitrary Hermite rank Z. Wahrsch. verw. Geb. 50 1979 53-83