Spatial nonparametric regression estimation: Non-isotropic case

Acta Mathematicae Applicatae Sinica

Volumn 18, Issue 4, 2002, Pages 641-656

  Lu, Zu Di ^a   Chen, Xing ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b YUNNAN UNIVERSITY   (China)

Author keywords

Bandwidth; Kernel estimator; Mixing; Non isotropic; Spatial conditional regression; Spatial data; Weak consistency and rates

Indexed keywords

EID: 21644433448     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s102550200067     Document Type: Article

References (22)

1. Basawa, I.V. Special issue on spatial statistics, part I. J. Statist. Plann. Inference, 50: 311-411 (1996)
2. Basawa, I.V. Special issue on spatial statistics, part II. J. Statist. Plann. Inference, 51: 1-97 (1996)
3. 1 theory. J. Nonparametr. Statist., 6: 157-170 (1996)
4. Cressie, N.A.C. Statistics for spatial data. John Wiley & Sons, Inc., New York (1991)
5. 1 views. Wiley, New York (1985)
6. Guyon, X. Estimation d'un champ par pseudo-varisemblable conditionelle: Etude asymptotique et application au cas Markovien. Proc. 6th Franco-Belgian Meeting of Statisticians (1987)
7. Gyorfi, L., Härdle, W., Sarda, P., Vieu, P. Nonparametric curve estimation from time series, lecture notes in statistics 60. Springer-Verlag, New York (1990)
8. Hallin, M., Lu, Zudi, Tran, L.T. Density estimation for spatial linear processes. Bernoulli, 7: 657-668 (2001)
9. Lu, C.R., Lin, Z.Y. Limit theory for mixing dependent variables. Science Press, Beijing (1997)
10. Lu, Zudi. Weak consistency of nonparametric kernel regression under alpha-mixing dependence. Chinese Science Bulletin, 41: 2219-2221 (1996)
11. Lu, Zudi, Cheng, Ping. Distribution-free strong consistency for nonparametric kernel regression involving nonlinear time series. Journal of Statistical Planning and Inference, 65: 67-86 (1997)
12. Masry, E., Tjøstheim D. Nonparametric estimation and identification of nonlinear ARCH time series: strong convergence and asymptotic normality. Econometric Theory, 11: 258-289 (1995)
13. Neaderhouser, C.C. Convergence of block spins defined on random fields. J. Statist Phys., 22: 673-684 (1980)
14. Possolo, A. Spatial statistics and imaging. Institute of Mathematical Statistics, Lecture notes-monograph series (1991)
15. Rosenblatt, M. Stationary sequences and random fields. Birkhauser, Boston (1985)
16. Stone, C.J. Optimal rates of convergence for nonparametric estimators. Annal of Statistics, 8: 1348-1360 (1980)
17. Tran, L.T. Kernel density estimation on random fields. J. Multivariate Anal., 34: 37-53 (1990)
18. 1 convergence of kernel density estimates under dependence. Canadian J. Statist., 17: 197-208 (1989)
19. Tran, L.T., Yakowitz, S. Nearest neighbor estimators for random fields. J. Multivariate Anal., 44: 23-46 (1993)
20. Truong, Y.M., Stone, C.J. Nonparametric function estimation involving time series. Annals of Statistics, 20: 77-97 (1992)
21. Whittle, P. On stationary processes in the plane. Biometrika, 41: 434-449 (1954)
22. Xu, Lizhi, Wang, Xinghua. Selective lecture for methods and examples of mathematical analysis. Higher Education Press, Beijing (1983)