Discussiones Mathematicae Probability and Statistics 25(2) (2005) 139--159

Kriging and masurement errors

Istvan Fazekas

Faculty of Informatics, University of Debrecen
P.O. Box 12, H--4010 Debrecen, Hungary

e-mail: fazekasi@inf.unideb.hu

Alexander G. Kukush

Department of Mathematics and Mechanics, Kiev University
Vladimirskaya st. 64, 252601 Kiev, Ukraine

e-mail: kuog@mechmat.univ.kiev.ua


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.

Keywords: universal kriging, least squares, errors-in-variables.

2000 Mathematics Subject Classification: 62M30.


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Received 10 February 2004
Revised 2 August 2005