Outliers detection in multivariate spatial linear models

Journal of Statistical Planning and Inference

Volumn 136, Issue 1, 2006, Pages 125-146

  Militino, A F ^a   Palacios, M B ^a   Ugarte, M D ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Influence measures; Robustness; The forward search; Universal cokriging

Indexed keywords

EID: 26944439456     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.06.033     Document Type: Article

References (38)

1. A.C. Atkinson Fast very robust methods for the detection of multiple outliers J. Amer. Statist. Assoc. 89 1994 1329-1339
2. A.C. Atkinson T.C. Cheng Computing least trimmed squares regression with the forward search Statist. Comput. 9 1999 251-263
3. A.C. Atkinson M. Riani Robust Diagnostics Regression Analysis. Springer Series in Statistics 2000 Springer New York
4. A.C. Atkinson M. Riani A. Cerioli Exploring Multivariate Data with the Forward Search. Springer Series in Statistics 2004 Springer New York
5. B.E. Barret R.F. Ling General classes of influence measures for multivariate regression J. Amer. Statist. Assoc. 87 1992 184-191
6. S. Basu R.F. Gunst E.A. Guertal M.I. Hartfield The effects of influential observations on sample semivariograms J. Agri. Biol. Environ. Statist. 2 1997 490-512
7. C. Becker U. Gather The masking breakdown point of multivariate outlier identification rules J. Amer. Statist. Assoc. 94 1999 947-955
8. C. Becker U. Gather The largest non-identifiable outlier: A comparison of multivariate simultaneous outlier identification rules Comput. Statist. Data Anal. 36 2001 119-127
9. A. Cerioli M. Riani The ordering of spatial data and the detection of multiple outliers J. Comput. Graphical Statist. 8 1999 239-258
10. S. Chatterjee A.S. Hadi Sensitivity Analysis in Linear Regression 1988 Wiley New York
11. J.P. Chilès P. Delfiner Geostatistics. Modeling Spatial Uncertainty. Wiley Series in Probability and Statistics 1999 Wiley New York
12. R. Christensen W. Johnson L.M. Pearson Prediction diagnostics for spatial linear models Biometrika 79 1992 583-591
13. R. Christensen L.M. Pearson W. Johnson Case-deletion diagnostics for mixed models Technometrics 34 1992 38-45
14. R. Christensen W. Johnson L.M. Pearson Covariance function diagnostics for spatial linear models Math. Geol. 25 1993 145-160
15. R.D. Cook Detection of influential observation in linear regression Technometrics 19 1977 15-18
16. R.D. Cook S. Weisberg Residuals and Influence in Regression 1982 Chapman and Hall New York
17. N.A. Cressie Fitting variogram models by weighted least squares Math. Geol. 17 1985 563-586
18. N.A. Cressie D.M. Hawkins Robust estimation of the variogram Math. Geol. 12 1980 115-125
19. V. DeGruttola J. Ware T.A. Louis Influence analysis of generalized least squares estimators J. Amer. Statist. Assoc. 82 1987 911-917
20. C.V. Deutsch A.G. Journel GSLIB. Geostatistical Software Library and User's Guide 1998 Oxford University Press New York
21. M.G. Genton Highly robust variogram estimation Math. Geol. 30 1998 213-221
22. P. Goovaerts Geostatistics for Natural Resources Evaluation, Appl. Geostatistics Series 1997 Oxford University Press New York
23. A.S. Hadi J.S. Simonoff Procedures for the identification of multiple outliers in linear models J. Amer. Statist. Assoc. 88 1993 1264-1272
24. J. Haslett R. Bradley P.S. Craig A.R. Unwin G. Wills Dynamic graphics for exploring spatial data with application to location global and local anomalies The Amer. Statist. 45 1991 234-242
25. D.M. Hawkins D.J. Olive Improved feasible solution algorithms for high breakdown estimation Comput. Statist. Data Anal. 30 1999 1-11
26. A. Hossain D.N. Naik Detection of influential observations in multivariate regression J. Appl. Statist. 16 1989 25-37
27. S.P. Kaluzny S.C. Vega T.P. Cardoso A.A. Shelly S + SpatialStats 1998 Springer New York
28. G. Matheron Principles of geostatistics Econom. Geol. 58 1963 1246-1266
29. A.F. Militino M.D. Ugarte A GM estimation of the location parameters in a spatial linear model Communications in Statistics. Theory and Meth. 26 1997 1701-1725
30. A.F. Militino M.D. Ugarte Assessing the covariance function in geostatistics Statist. Probab. Lett. 52 2001 199-206
31. A.F. Militino M.B. Palacios M.D. Ugarte Robust trend parameters in a multivariate spatial linear model Test 12 2003 101-113
32. E.D. Myers Matrix formulation of co-kriging Math. Geol. 14 1982 249-257
33. M. Riani A. Atkinson Robust diagnostics data analysis: Transformations in regression Technometrics 42 2000 384-398
34. P.J. Rousseeuw A.M. Leroy Robust Regression and Outlier Detection 1987 Wiley New York
35. P.J. Rousseeuw K. vanDriessen A fast algorithm for the minimum covariance determinant estimator Technometrics 41 1999 212-223
36. P.J. Rousseeuw B.C. vanZomeren Unmasking multivariate outliers and leverage points J. Amer. Statist. Assoc. 85 1990 633-651
37. H. Wackernagel Multivariate Geostatistics Second ed 1998 Springer Berlin
38. J.W. Wisnowski D.C. Montgomery J.R. Simpson A comparative analysis of multiple outlier detection procedures in the linear regression models. Comput. Statist. Data Anal. 36 2001 351-382