An evaluation of a non-parametric method of estimating semi-variograms of isotropic spatial processes

Journal of Applied Statistics

Volumn 23, Issue 4, 1996, Pages 435-449

  Cherry, S ^a   Banfield, J ^a   Quimby, W F ^a  

^a MONTANA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011416275     PISSN: 02664763     EISSN: None     Source Type: Journal    
DOI: 10.1080/02664769624170     Document Type: Article

References (15)

1. BECKER, R. A., CHAMBERS, J. M. & WILKS, A. R. (1988) The New S Language (Pacific Grove, CA, Wadsworth and Brooks).
2. CHERRY, S. (1994) Nonparametric estimation of semivariogram functions, Unpublished PhD Dissertation, Montana State University, Bozeman, MT.
3. CLARK, I. (1979) Practical Geostatistics (London, Elsevier).
4. CRESSIE, N. A. (1985) Fitting variogram models by weighted least squares, Journal of the International Association for Mathematical Geology, 17, pp. 693-702.
5. CRESSIE, N. A. (1991) Statistics for Spatial Data (New York, Wiley).
6. DEUTSCH, C. V. & JOURNEL, A. G. (1992) GSLIB: Geostatistical Software Library and User's Guide (New York, Oxford University Press).
7. ENGLUND, E. J. (1990) A variance of geostatisticians, Mathematical Geology,.22, pp. 417-455.
8. HALL, P., FISHER, N. I. & HUFFMAN, B. (1994) On the nonparametric estimation of covariance functions, The Annals of Statistics, 22, pp. 2115-2134.
9. ISSAKS, E. H. & SRIVASTAVA, R. M. (1989) An Introduction to Applied Geostatistics (New York, Oxford University Press).
10. LAWSON, C. L. & HANSON, R. J. (1974) Solving Least Squares Problems (Englewood Cliffs, NJ, Prentice-Hall).
11. LELE, S. (1995) Inner product matrices, kriging, and nonparametric estimation of the variogram, Mathematical Geology, 27, pp. 673-692.
12. LELE, S. (1995) Personal communication.
13. SAMPSON, P. D. & GUTTORP, P. (1992) Nonparametric estimation of nonstationary spatial covariance structure, Journal of the American Statistical Association, 87, pp. 108-119.
14. SCHOENBERG, I. J. (1938) Metric spaces and completely monotone functions, Annals of Mathematics, 39, 811-841.
15. SHAPIRO, A. & BOTHA, J. D. (1991) Variogram fitting with a general class of conditionally nonnegative definite functions, Computational Statistics and Data Analysis, 11, pp. 87-96.