Abstract
Implicit in many of the geostatistical techniques developed, is faith that the data are Gaussian (normal) or can be conveniently transformed to Gaussianity. A mining engineer knows however that contamination is present all too often. This paper will make an exploratory analysis of spatial data, graphing and summarizing in a way that is resistant to that contamination. The ultimate goal is variogram estimation and kriging, and the data analytic techniques used reflect this. The pocket plot is a new way of looking at contributions of small regions of points to variogram estimation. The gridded data are thought of as a higher way table and analysed by median polish. The residual table is shown to contain useful information on the spatial relationships between data. Coal ash measurements in Pennsylvania are analysed from this resistant point of view.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Box, G., and Cox, D. (1964). An analysis of transformations. Journal of the Royal Statistical Society B, 26, pp. 211–252.
Chauvet, P. (1982). The variogram cloud. Centre de Géostatistique internal report, N-725.
Cressie, N. (1979). Straight line fitting and variogram estimation. ( Invited paper with discussion ). Bulletin of the International Statistical Institute, 48.
Cressie, N., and Hawkins, D. (1980). Robust estimation of the variogram, I. Journal of the International Association for Mathematical Geology, 12, pp. 115–125.
Gomez, M., and Hazen, K. (1970). Evaluating sulfur and ash distribution in coal seams by statistical response surface regression analysis. U.S. Bureau of Mines Report, RI 7377.
Hawkins, D., and Cressie, N. (1984). Robust kriging — a proposal. Journal of the International Association for Mathematical Geology 16, to appear.
Journel, A., and Huijbregts, C. (1978). Mining Geostatistics. Academic Press: London.
Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58, pp. 1246–1266.
Matheron, G. (1971). The Theory of Regionalized Variables and its Applications. Cahiers du Centre de Morphologie Mathématique, No. 5: Fontainebleau.
Miller, R., and Kahn, J. (1962). Statistical Analysis in the Geological Sciences. Wiley: New York.
Sheppard, W. (1899). On the application of the theory of error to cases of normal distribution and normal correlation. Philosophical Transactions of the Royal Society of London A, 192, pp. 101–167.
Starks,T., and Fang, J. (1982). The effect of drift on the experimental semi-variogram. Journal of the International Association for Mathematical Geology, 14, pp. 309–320.
Tukey, J. (1977). Exploratory Data Analysis. Addison-Wesley: Reading, Mass.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 D. Reidel Publishing Company
About this chapter
Cite this chapter
Cressie, N. (1984). Towards Resistant Geostatistics. In: Verly, G., David, M., Journel, A.G., Marechal, A. (eds) Geostatistics for Natural Resources Characterization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3699-7_2
Download citation
DOI: https://doi.org/10.1007/978-94-009-3699-7_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8157-3
Online ISBN: 978-94-009-3699-7
eBook Packages: Springer Book Archive