Highly Robust Variogram Estimation

Mathematical Geology

Volumn 30, Issue 2, 1998, Pages 213-221

  Genton, Marc G ^a  

^a EPFL   (Switzerland)

Author keywords

Breakdown point; Influence function; M estimator; Robust variogram; Scale estimation; Spatial statistics

Indexed keywords

STATISTICS; VARIOGRAM;

EID: 0031816448     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021728614555     Document Type: Article

References (13)

1. Cressie, N., 1991, Statistics for spatial data: John Wiley & Sons, New York, 900 p.
2. Cressie, N., and Hawkins, D. M., 1980, Robust estimation of the variogram, I: Math. Geology, v. 12, no. 2, p. 115-125.
3. Croux, C., and Rousseeuw, P. J., 1992, Time-efficient algorithms for two highly robust estimators of scale: Computational Statist., v. 1, p. 411-428.
4. Genton, M. G., 1995, Robustesse dans l'estimation du variogramme: Bulletin de l'Institut International de Statistique, Beijing, China, v. 1, p. 400-401.
5. Genton, M. G., and Rousseeuw, P. J., 1995, The change-of-variance function of M-estimators of scale under general contamination: Jour. Comp. Appl. Math., v. 64, p. 69-80.
6. Hampel, F. R., 1973, Robust estimation, a condensed partial survey: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, v. 27, p. 87-104.
7. Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J., and Stahel, W. A., 1986, Robust statistics, the approach based on influence functions: John Wiley & Sons, New York, 502 p.
8. Huber, P. J., 1977, Robust statistical procedures: Soc. Industrial and Applied Mathematics, Philadelphia, 56 p.
9. Huber, P. J., 1981, Robust statistics: John Wiley & Sons, New York, 308 p.
10. Journel, A. G., and Huijbregts, Ch. J., 1978, Mining geostatistics: Academic Press, London, 600 p.
11. Matheron, G., 1962, Traité de géostatistique appliquée, Tome I: Mémoires du Bureau de Recherches Géologiques et Minières, no. 14, Editions Technip, Paris, 333 p.
12. 1 Statistical analyses and related methods: North-Holland, Amsterdam, p. 77-92.
13. Rousseeuw, P. J., and Croux, C., 1993, Alternatives to the median absolute deviation: Jour. Am. Stat. Assoc., v. 88, no. 424, p. 1273-1283.