155
Views
15
CrossRef citations to date
0
Altmetric
Original Articles

Nonparametric spatial prediction under stochastic sampling design

, &
Pages 363-377 | Received 01 Oct 2008, Published online: 01 Apr 2010

References

  • Biau , G. 2003 . Spatial Kernel Density Estimation . Mathematical Methods of Statistics , 12 : 371 – 390 .
  • Biau , G. and Cadre , B. 2004 . Nonparametric Spatial Prediction . Statistical Inference for Stochastic Processes , 7 : 327 – 349 .
  • Carbon , M. , Francq , C. and Tran , L. T. 2007 . Kernel Regression Estimation for Random Fields . Journal of Statistical Planning and Inference , 137 : 778 – 798 .
  • Chilés , J. P. and Delfiner , P. 1999 . Geostatistics: Modeling Spatial Uncertainty , Wiley Series in Probability and Statistics New York : Wiley .
  • Cressie , N. 1993 . Statistics for Spatial Data , Wiley Series in Probability and Statistics New York : Wiley .
  • Dabo-Niang , S. and Yao , A. F. 2007 . Kernel Regression Estimation for Continuous Spatial Processes . Mathematical Methods of Statistics , 16 : 1 – 20 .
  • Diggle , P. J. and Ribeiro , P. J. Jr. 2007 . “ Model-based Geostatistics ” . In Springer Series in Statistics , New York : Springer .
  • Diggle , P. J. , Tawn , J. A. and Moyeed , R. A. 1998 . Model-based Geostatistics . The Journal of the Royal Statistical Society, Series C , 47 : 299 – 350 .
  • Efromovich , S. 1999 . Nonparametric Curve Estimation: Methods, Theory and Applications , New York : Springer .
  • Eubank , R. L. 1988 . Spline Smoothing and Nonparametric Regression , New York : Marcel Dekker .
  • Fan , J. and Gijbels , I. 1996 . Local Polynomial Modelling and its Applications , London : Chapman & Hall .
  • Fernández , J. A. , Rey , A. and Carballeira , A. 2000 . An Extended Study of Heavy Metal Deposition in Galicia (NW Spain) Based on Moss Analysis . Science of the Total Environment , 254 : 31 – 44 .
  • Ferraty , F. and Vieu , P. 2006 . Nonparametric Functional Data Analysis: Theory and Practice , New York : Springer .
  • García-Soidán , P. 2007 . Asymptotic Normality of the Nadaraya–Watson Semivariogram Estimators . Test , 16 : 479 – 503 .
  • García-Soidán , P. , Febrero , M. and González-Manteiga , W. 2004 . Nonparametric Kernel Estimation of an Isotropic Semivariogram . Journal of Statistical Planning and Inference , 121 : 65 – 92 .
  • Giraldo , R. , Delicado , P. and Mateu , J. From Multivariable to Functional Geostatistics: An Alternative for Spacetime Prediction . Proceedings of the Fourth International Workshop on Spatio-Temporal Modelling (METMA4) , pp. 229 – 236 . Stampato dalla TAS Tipografia
  • Györfi , L. , Kohler , M. , Krzyzak , A. and Walk , H. 2002 . A Distribution-free Theory of Nonparametric Regression , New York : Springer-Verlag .
  • Hall , P. and Marron , J. S. 1987 . Estimation of Integrated Squared Density Estimators . Statistics & Probability Letters , 6 : 109 – 115 .
  • Hall , P. , Fisher , I. and Hoffmann , B. 1994 . On the Nonparametric Estimation of Covariance Functions . Annals of Statistics , 22 : 2115 – 2134 .
  • Hall , P. , Marron , J. S. and Park , B. U. 1992 . Smoothed Cross-validation . Probability Theory and Related Fields , 92 : 1 – 20 .
  • Hallin , M. , Lu , Z. and Tran , L. T. 2004 . Local Linear Spatial Regression . Annals of Statistics , 32 : 2469 – 2500 .
  • Härdle , W. 1990 . Applied Nonparametric Regression , Cambridge : Cambridge University Press . Econometric Society Monographs
  • Härdle , W. and Vieu , P. 1992 . Kernel Regression Smoothing of Time Series . Journal of Time Series Analysis , 13 : 209 – 232 .
  • Lu , Z. and Chen , X. 2004 . Spatial Kernel Regression Estimation . Statistics & Probability Letters , 68 : 125 – 136 .
  • Myers , D. 1982 . Matrix Formulation of Co-kriging . Mathematical Geology , 14 : 249 – 257 .
  • Nerini , D. , Monestiez , P. and Manté , C. in press . Cokriging for Spatial Functional Data . Journal of Multivariate Analysis ,
  • Park , B. U. and Marron , J. S. 1992 . On the Use of Pilot Estimators in Bandwidth Selection . Journal of Nonparametric Statistics , 1 : 231 – 240 .
  • Parzen , E. 1962 . On the Estimation of a Probability Density Function and the Mode . Annals of Mathematical Statistics , 33 : 1065 – 1076 .
  • Ramsay , J. and Silverman , B. 2005 . Functional Data Analysis , 2 , New York : Springer .
  • Rosenblatt , M. 1956 . Remarks on Some Nonparametric Estimates of a Density Function . Annals of Mathematical Statistics , 27 : 832 – 837 .
  • Silverman , B. W. 1986 . “ Density Estimation for Statistics and Data Analysis ” . In Monographs on Statistical Subjects , London : Chapman and Hall .
  • Ver Hoef , J. and Cressie , N. 1993 . Multivariable Spatial Prediction . Mathematical Geology , 25 : 219 – 240 .
  • Walter , G. G. 1994 . Wavelets and Other Orthogonal Systems with Applications , London : CRC Press .
  • Wand , M. P. and Jones , M. C. 1995 . “ Kernel Smoothing ” . In Monographs on Statistics and Applied Probability , London : Chapman and Hall .
  • Xu , R. and Wang , J. 2008 . L1-Estimation for Spatial Nonparametric Regression . Journal of Nonparametric Statistics , 20 : 523 – 537 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.