Abstract
Previously published techniques for robust and resistant variogram estimation are reviewed and several alternative methods are introduced. The performance of various estimators is assessed on two typical practical examples.
Two suggestions for resistant methods of kriging are discussed and illustrated.
This is a preview of subscription content, log in via an institution to check access.
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
Armstrong, M. (1981) “Application de la geostatistique aux problemes de l’estimation du charbon”. Doctoral Thesis. Ecole Nationale Superieure des Mines de Paris, Fontainebleau France.
Cressie, N. and Hawkins, D. (1980) “Robust Estimation of the Variogram”, Journal of the International Association for Mathematical Geology, Vol. 12 no. 2 pp l15–126
Delhomme, J. P. (1974) “La Cartographie d’une Grandeur Physique a partir de donnees de differentes qualities” Proceedings of the A.I.M. Confernece. Montpellier 1974.
Dowd, P.A. (1982) “Lognormal Kriging — the general case” Journal of the International Association for Mathematical Geology, Vol. 14 no. 5 pp 475–499
Dowd, P. A. and Royle, A. G. (1977) “Geostatistical Applications in the Athabasca Tar Sands” Proceedings of the 15th APCOM Symposium. Australasian Inst. Mining and Metallurgy. pp 235–242
Dowd, P. A. and Scott, I. R. (1982) “Geostatistical Applications in Stratigraphie Orebodies”. Sixth Australian Statistical Conference, Melbourne, August 1982
Hawkins, D. and Cressie, N. (1984) “Robust Kriging a proposal” Journal of the International Association for Mathematical Geology. To appear.
Henley, S. (1981) “Non-parametric geostatistics” Applied Science Publishers, London and New Jersey 145 pp.
Hogg, R. V. (1974) “Adaptive Robust Procedures: a Review and some suggestions for further applications”. Journal of the American Statistical Association, Vol. 69 pp. 909–922
Huber, P.J. (1964) “Robust estimation of a location parameter” Annals of Mathematical Statistics, Vol. 35 pp. 73–101
Huber, P.J. (1972) “Robust Statistics: a review” Annals of Mathematical Statistics, Vol. 43 no. 4, pp. 1041–1067
Journel, A. G. and Huijbregts, C. (1978) “Mining Geostatistics” Academic Press London, 600 pp.
Lax, D. A. (1975) “An interim report of a Monte Carlo Study of robust estimators of width” Technical Report no. 93 (series 2 ) Dept. of Statistics, Princeton University
Matheron, G. (1965) “Les variables regionalisees et leur Estimation” Masson et Cie, Paris 306 pp.
Matheron, G. (1978) “A simple substitute for conditional expection: Disjunctive Kriging” in Proceedings of the First NATO A.S.I, on geostatistics, Rome 1975, eds Guarascio et al. D. Reidel Publishing Co., Netherlands, pp. 221–236
Mosteller, F. and Tukey, J.W. (1977) “Data Analysis and Regression” Addison-Wesley Publishing Co. 588 pp.
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
Dowd, P.A. (1984). The Variogram and Kriging: Robust and Resistant Estimators. 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_6
Download citation
DOI: https://doi.org/10.1007/978-94-009-3699-7_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8157-3
Online ISBN: 978-94-009-3699-7
eBook Packages: Springer Book Archive