Nonstationarity of the Mean and Unbiased Variogram Estimation: Extension of the Weighted Least-Squares Method

Mathematical Geology

Volumn 30, Issue 2, 1998, Pages 223-240

  Beckers, Francois ^a   Bogaert, Patrick ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Bias; Covariance function; Drift; MINQUE; Model fitting

Indexed keywords

NONSTATIONARITY; STATISTICS;

EID: 0031844533     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021780731393     Document Type: Article

References (14)

1. Armstrong, M., 1984, Problems with universal kriging: Math. Geology, v. 16, no. 1, p. 101-108.
2. Atteia, O., Dubois, J.-P., and Webster, R., 1994, Geostatistical analysis of soil contamination in Swiss Jura: Environmental Pollution, v. 86, no. 3, p. 315-327.
3. Christensen, R., 1987, Plane answers to complex questions: The theory of linear models: Springler-Verlag, New York, 380 p.
4. Cressie, N., 1985, Fitting variogram models by weighted least squares: Math. Geology, v. 17, no. 5, p. 563-586.
5. Cressie, N., 1993, Statistics for spatial data: John Wiley & Sons, 900 p.
6. Dobermann, A., Goovaerts, P., and George, T., 1995. Sources for soil variation in an acid Ultisol of the Phillippines: Geoderma, v. 68, no. 3, p. 173-191.
7. Kitanidis, P. K., 1983, Statistical estimation of polynomial generalized covariance functions and hydrologic applications: Water Resources Res., v. 19, no. 4, p. 909-921.
8. Kitanidis, P. K., 1985, Minimum variance unbiased quadratic estimation of covariances of regionalized variables: Math. Geology, v. 17, no. 2, p. 195-208.
9. Kitanidis, P. K., 1993, Generalized covariance functions in estimation: Math. Geology, v. 25, no. 5, p. 525-540.
10. Marshall, R. J., and Mardia, K. V., 1985, Minimum norm quadratic estimation of components of spatial covariance: Math. Geology, v. 17, no. 5, p. 517-524.
11. Neuman, S. P., and Jacobson, E. A., 1984, Analysis of nonintrinsic spatial variability by residual kriging with application to regional groundwater levels: Math. Geology, v. 16, no. 5, p. 499-521.
12. Olea, R. A., 1975, Optimum mapping techniques using regionalized variables theory: Series on Spatial Analysis, no. 2, Kansas Geological Survey, Lawrence, 137 p.
13. Webster, R., and Burgess, T. M., 1980, Optimal interpolation and isarithmic mapping of soil properties. III Changing drift and universal kriging: Jour. Soil Science, v. 31, no. 3, 505-524.
14. Webster, R., Atteia, O., and Dubois, J.-P., 1994, Coregionalization of trace metals in the soil in Swiss Jura: Eur. Jour. Soil Science, v. 45, no. 2, p. 205-218.