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A Note on Eigenstructure of a Spatial Design Matrix In R1
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 Title & Authors
A Note on Eigenstructure of a Spatial Design Matrix In R1
Kim Hyoung-Moon; Tarazaga Pablo;
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 Abstract
Eigenstructure of a spatial design matrix of Matheron`s variogram estimator in is derived. It is shown that the spatial design matrix in with n/2h < n has a nice spectral decomposition. The mean, variance, and covariance of this estimator are obtained using the eigenvalues of a spatial design matrix. We also found that the lower bound and the upper bound of the normalized Matheron`s variogram estimator.
 Keywords
Eigenvalue;Eigenvector;Kriging;Matheron`s estimator;
 Language
English
 Cited by
 References
1.
Cressie, N., (1993). Statistics for Spatial Data(rev. ed.), Wiley, New York

2.
Genton, M.G., (1998). Variogram fitting by generalized least squares using an explicit formula for the covariance structure. Mathematical Geology. Vol. 30, 323-345 crossref(new window)

3.
Genton, M.G., (2000). The correlation structure of Matheron's classical variogram estimator under elliptically contoured distributions. Mathematical Geology, Vol. 32, 127-137 crossref(new window)

4.
Genton, M.G., He, L. and Liu, X., (2001). Moments of skew-normal random vectors and their quadratic forms. Statistics & Probability Letters, Vol. 51, 319-325 crossref(new window)

5.
Gorsich, D.J., Genton, M.G., and Strang, G., (2002). Eigenstructures of Spatial Design Matrices. Journal of Multivariate Analysis, Vol. 80, 138-165 crossref(new window)

6.
Kim, H.-M., Mallick, B.K., (2003). Moments of random vectors with skew t distribution and their quadratic forms. Statistics & Probability Letters, Vol. 63, 417-423 crossref(new window)

7.
Yaglom, A.M., (1987a). Correlations Theory of Stationary and Related Random Functions. I. Basic Results, Springer Series in Statistics, Springer-Verlag, Berlin/New York

8.
Yaglom, A.M., (1987b). Correlations Theory of Stationary and Related Random Functions. II. Supplementary Notes and References, Springer Series In Statistics, Springer- Verlag, Berlin/New York