The ordering of spatial data and the detection of multiple outliers?

Journal of Computational and Graphical Statistics

Volumn 8, Issue 2, 1999, Pages 239-258

  Cerioli, Andrea ^a   Riani, Marco ^a  

^a UNIVERSITY OF PARMA   (Italy)

Author keywords

Forward search; Kriging; Masking; Measurement error; Prediction diagnostic; Simulation envelope

Indexed keywords

EID: 0033419417     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.1999.10474812     Document Type: Article

References (25)

1. Aptech Systems, Inc. (1994), GAUSS, Maple Valley, WA.
2. Atkinson, A. C. (1986), “Masking Unmasked,” Biometrika, 73, 533-541.
3. Atkinson, A. C. (1994), “Fast Very Robust Methods for the Detection of Multiple Outliers,” Journal of the American Statistical Association, 89, 1329-1339.
4. Atkinson, A. C., and Mulira, H.-M. (1993), “The Stalactite Plot for the Detection of Multivariate Outliers,” Statistics and Computing, 3, 27-35.
5. Atkinson, A. C., and Riani, M. (1997), “Bivariate Boxplots, Multiple Outliers, Multivariate Transformations and Discriminant Analysis: the 1997 Hunter Lecture," Environmetrics, 8, 583-602.
6. Bamett, V., and Lewis, T. (1994), Outliers in Statistical Data (3rd ed.), New York: Wiley.
7. Barry, R. P., and ver Hoef, I. M. (1996), “Blackbox Kriging: Spatial Prediction Without Specifying Variogram Models,” Journal of Agricultural, Biological, and Environmental Statistics, 1, 297-322.
8. Christensen, R., Johnson, W., and Pearson, L. M. (1992), “Prediction Diagnostics for Spatial Linear Models,” Biometrika, 79, 583-591.
9. Cressie, N. (1986), “Kriging Nonstationary Data,” Journal of the American Statistical Association, 81, 625-634.
10. Cressie, N. (1993), Statistics for Spatial Data (revised ed.), New York: Wiley.
11. Cressie, N., and Hawkins, D. M. (1980), “Robust Estimation of the Variogram: I,” Mathematical Geology, 12, 115-125.
12. Diggle, P. J., Tawn, I. A., and Moyeed, R. A. (1998), “Model-Based Geostatistics” (with discussion), Applied Statistics, 47, 299-350.
13. Fung, W.-K. (1993), “Unmasking Outliers and Leverage Points: A Confirmation,” Journal of the American Statistical Association, 88, 515-519.
14. Hadi, A. S. (1992), “Identifying Multiple Outliers in Multivariate Data,” Journal of the Royal Statistical Society, Ser. B, 54, 761-771.
15. Hadi, A. S., and Simonoff, J. S. (1993), “Procedures for the Identification of Multiple Outliers in Linear Models,” Journal of the American Statistical Association, 88, 1264-1272.
16. Haslett, J., Bradley, R., Craig, P., Unwin, A., and Wills, G. (1991), “Dynamic Graphics for Exploring Spatial Data With Application to Locating Global and Local Anomalies,” The American Statistician, 45, 234-242.
17. Haslett, J., and Hayes, K. (1998), “Residuals for the Linear Model with General Covariance Structure,” Journal of the Royal Statistical Society, Ser. B, 60, 201-215.
18. Hawkins, D. M. (1993), “The Accuracy of Elemental Sets Approximations for Regression,” Journal of the American Statistical Association, 88, 580-589.
19. Hawkins, D. M., and Cressie, N. (1984), “Robust Kriging-A Proposal,” Mathematical Geology, 16, 3-18.
20. Hawkins, D. M., and McLachlan, G. J. (1997), “High-Breakdown Linear Discriminant Analysis,” Journal of the American Statistical Association, 92, 136-143.
21. Martin, R. J. (1992), “Leverage, Influence and Residuals in Regression Models when Observations are Correlated,” Communications in Statistics, Part A-Theory and Methods, 21, 1183-1212.
22. Panatier, Y. (1996), Variowin. Software for Spatial Data Analysis in 2D, New York: Springer-Verlag.
23. Riani, M., and Atkinson, A. C. (1999), “A Unified Approach to Multivariate Transformations and Multiple Outliers,” submitted for publication.
24. Rousseeuw, P. J. (1984), “Least Median of Squares Regression,” Journal of the American Statistical Association, 79, 871-880.
25. Shapiro, A., and Botha, J. D. (1991), “Variogram Fitting With a General Class of Conditionally Nonnegative Definite Functions,” Computational Statistics and Data Analysis, 11, 87-96.