A linear geostatistical model is considered. Properties of a universal kriging are studied when the locations of observations aremeasured with errors. Alternative prediction procedures are introduced and their least squares errors are analyzed.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1066, author = {Istv\'an Fazekas and Alexander G. Kukush}, title = {Kriging and masurement errors}, journal = {Discussiones Mathematicae Probability and Statistics}, volume = {25}, year = {2005}, pages = {139-159}, zbl = {1132.62382}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1066} }
István Fazekas; Alexander G. Kukush. Kriging and masurement errors. Discussiones Mathematicae Probability and Statistics, Tome 25 (2005) pp. 139-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1066/
[000] [1] O. Berke, On spatiotemporal prediction for on-line monitoring data, Comm. Statist. Theory Methods 27 (9) (1998), 2343-2369. | Zbl 0907.62099
[001] [2] N.A.C. Cressie, Statistics for Spatial Data, Wiley, New York 1991. | Zbl 0799.62002
[002] [3] I. Fazekas, S. Baran, A.G. Kukush, and J. Lauridsen, Asymptotic properties in space and time of an estimator in nonlinear functional errors-in-variables models, Random Oper. Stoch. Equ. 7 (4) (1999), 389-412. | Zbl 0953.62061
[003] [4] I. Fazekas and A.G. Kukush, Errors-in-variables and kriging, Proc. 4th International Conference on Applied Informatics, Eger 1999, 261-273. | Zbl 1003.62083
[004] [5] J. Gabrosek and N. Cressie, The effect on attribute prediction of locationuncertainity in spatial data, Geographical Analysis 34 (3) (2002), 261-285.
[005] [6] D.G. Krige, A statistical approach to some basic mine valuations problems on the Witwatersrand, Journal of the Chemical, Metallurgical and Mining Society of South Africa 52 (1951), 119-139.
[006] [7] S.J. Yakowitz and F. Szidarovszky, A comparison of kriging with nonparametric regression methods, J. Multivariate Anal. 16 (1985), 21-53. | Zbl 0591.62060