Feature significance in geostatistics

Journal of Computational and Graphical Statistics

Volumn 13, Issue 4, 2004, Pages 954-973

  Ganguli, B ^a   Wand, M P ^b  

^a INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

^b UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Best linear unbiased prediction; Bivariate smoothing; Curvature; Global hypotheses tests; Gradient; Low rank mixed models; Penalized splines; Scale space

Indexed keywords

EID: 11244264878     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186004X12515     Document Type: Article

References (22)

1. Chaudhuri, P., and Marron, J. S. (1999), "SiZer for Exploration of Structures in Curves," Journal of the American Statistical Association, 94, 807-823.
2. Cressie, N. (1989), "Geostatistics," The American Statistician, 43, 197-202.
3. _ (1993), Statistics for Spatial Data, New York: Wiley.
4. Ecker, M. D., and Heltshe, J. F. (1994), "Geostatistical Estimates of Scallop Abundance," in Case Studies in Biometry, eds. N. Lange, L. Ryan, L. Billard, D. Brillinger, L. Conquest, and J. Greenhouse, New York: Wiley, pp. 107-124.
5. Eilers, P. H. C., and Marx, B. D. (1996), "Flexible Smoothing with B-splines and Penalties" (with discussion), Statistical Science, 11, 89-121.
6. French, J. L., Kammann, E. E., and Wand, M. P. (2001), Comment on Ke and Wang, Journal of the American Statistical Association, 96, 1285-1288.
7. Godtliebsen, F., Marron, J. S., and Chaudhuri, P. (2000), "Significance in Scale Space," unpublished manuscript.
8. _ (2002), "Significance in Scale Space for Bivariate Density Estimation," Journal of Computational and Graphical Statistics, 11, 1-22.
9. Green, P. J., and Silverman, B. W. (1994), Nonparametric Regression and Generalized Linear Models, London: Chapman and Hall.
10. Hastie, T. J. (1996), "Pseudosplines," Journal of the Royal Statistical Society, Series B, 58, 379-396.
11. Hutchinson, M. F. (1990), "Robust Calibration of Seasonally Varying Stochastic Weather Models Using Periodic Smoothing Splines," Mathematics and Computers in Simulation, 32, 125-130.
12. _ (1990), "On Thin Plate Splines and Kriging," in Computing Science and Statistics: Proceedings of the 25th Symposium on the Interface, Fairfax, VA: Interface Foundation of North America, pp. 55-62.
13. Johnson, M. E., Moore, L. M., and Ylvisaker, D. (1990), "Minimax and Maximin Distance Designs," Journal of Statistical Planning and Inference, 26, 131-148.
14. Nychka, D., Haaland, P., O'Connell, M., and Ellner, S. (1998), "FUNFITS, Data Analysis and Statistical Tools for Estimating Functions," in Case Studies in Environmental Statistics, eds. D. Nychka, W. W. Piegorsch, and L. H. Cox, New York: Springer-Verlag, pp. 159-179.
15. Nychka, D. W. (2000), "Spatial Process Estimates as Smoothers, " in Smoothing and Regression, ed. M. Schimek, Heidelberg: Springer-Verlag.
16. Nychka, D., and Saltzman, N. (1998), "Design of Air Quality Monitoring Networks," in Case Studies in Environmental Statistics, eds. D. Nychka, L. Cox, and W. Piegorsch, Lecture Notes in Statistics, New York: Springer-Verlag, pp. 51-76.
17. O'Connell, M. A., and Wolfinger, R. D. (1997), "Spatial Regression Models, Response Surfaces, and Process Optimization," Journal of Computational and Graphical Statistics, 6, 224-241.
18. Ruppert, D., Wand, M. P., and Carroll, R. J. (2003), Semiparametric Regression, New York: Cambridge University Press.
19. Speed, T. (1991), Comment on paper by Robinson, Statistical Science, 6, 42-44.
20. Stein, M. L. (1999), Interpolation of Spatial Data: Some Theory for Kriging, New York: Springer.
21. Wahba, G. (1990), Spline Models for Observational Data, Philadelphia: SIAM.
22. Wand, M. P. (2002), "Vector Differential Calculus in Statistics," The American Statistician, 56, 55-62.