L1-estimation for spatial nonparametric regression

Journal of Nonparametric Statistics

Volumn 20, Issue 6, 2008, Pages 523-537

  Xu, Rongrong ^a   Wang, Jinde ^a  

^a NANJING UNIVERSITY   (China)

Author keywords

Asymptotic normality; Least absolute deviation estimation; Local linear approximation; Mixing condition; Random field

Indexed keywords

EID: 49549114027     PISSN: 10485252     EISSN: 10290311     Source Type: Journal    
DOI: 10.1080/10485250801976717     Document Type: Article

References (12)

1. N.A.C. Cressie, Statistics for Spatial Data, Wiley, New York, 1993.
2. Z. Lu and X. Chen, Spatial kernel regression estimation: weak consistency, Stat. Proba. Lett. 68 (2004), pp. 125-136.
3. G. Biau and B. Cadre, Nonparametric spatial prediction, Stat. Inference Stoch. Processes 7 (2004), pp. 327-349.
4. M. Hallin, Z. Lu, and L.T. Tran, Local linear spatial regression, Ann. Stat. 32 (2004), pp. 2469-2500.
5. P. Bloomfield and W.L. Steiger, Least Absolute Deviations: theory, Applications and Algorithms, Boston: Birkhäuser, 1983.
6. D. Pollard, Asymptotics for least absolute deviation regression estimators, Econ. Theory 7 (1991), pp. 186-199.
7. 1 method for robust nonparametric regression, J. Ame. Stat. Assoc. 89 (1994), pp. 65-76.
8. 1-estimation for varying coefficient models, Stat. 39 (2005), pp. 389-404.
9. 1 Theory, J. Multivar. Anal. 88 (2004), pp. 61-75.
10. R. Haining, Spatial Data Analysis: Theory and Practice, Cambridge, UK, 2003.
11. B.L.S. Prakasa Rao, Asymptotic Theory of Statistical Inference, Wiley, New York, 1987.
12. 1 -Estimators in Nonlinear Regression, J. Multivar. Anal. 54 (1995), pp. 227-238.