Robustness in spatial studies II: Minimax design

Environmetrics

Volumn 16, Issue 2, 2005, Pages 205-217

  Wiens, Douglas P ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Anisotropic; Computer experiments; Generalized M estimation; Isotropic; Kriging; M estimate; Minimax; Sequential; Simulated annealing

Indexed keywords

ENVIRONMENTAL MONITORING; KRIGING; SPATIAL ANALYSIS;

EID: 14944361381     PISSN: 11804009     EISSN: None     Source Type: Journal    
DOI: 10.1002/env.701     Document Type: Article

References (18)

1. Benedetti R, Palma D. 1995. Optimal sampling designs for dependent spatial units. Environmetrics 6: 101-114.
2. Chao C-T, Thompson SK. 2001. Optimal adaptive selection of sampling sites. Environmetrics 12: 517-538.
3. Cressie N. 1993. Statistics for Spatial Data. Wiley: New York.
4. Fedorov VV, Hackl P. 1994. Optimal experimental design: spatial sampling. Calcutta Statistical Association Bulletin 44: 57-81.
5. Gomez M, Hazen K. 1970. Evaluating sulphur and ash distribution in coal seams by statistical response surface regression analysis, U.S. Bureau of Mines Report RI 7377.
6. Martin RJ. 1986. On the design of experiments under spatial correlation, (corr: 75, p. 396). Biometrika 73: 247-277.
7. Martin RJ. 2001. Comparing and contrasting some environmental and experimental design problems. Environmetrics 12: 272-287.
8. McArthur RD. 1987. An evaluation of sample designs for estimating a locally concentrated pollutant. Communications in Statistics, Part B - Simulation and Computation 16: 735-759.
9. Royle JA. 2002. Exchange algorithms for constructing large spatial designs. Journal of Statistical Planning and Inference 100: 121-134.
10. Sacks J, Schiller S. 1988. Spatial designs. In Statistical Decision Theory and Related Topics IV, Vol. 2, Gupta SS, Berger JO (eds). Springer-Verlag: New York; 385-395.
11. Sacks J, Welch WJ, Mitchell TJ, Wynn HP. 1989. Design and analysis of computer experiments. Statistical Science 4: 409-423.
12. Santner TJ, Williams BJ, Notz WI. 2003. The Design and Analysis of Computer Experiments. Springer Verlag: New York.
13. Schilling, Mark F. 1992. Spatial designs when the observations are correlated. Communications in Statistics, Part B - Simulation and Computation 21: 243-267.
14. Sinha S, Wiens DP. 2002. Robust sequential designs for nonlinear regression. The Canadian Journal of Statistics 30: 601-618.
15. Stein ML. 1995. Locally lattice sampling designs for isotropic random fields. The Annals of Statistics 23: 1991-2012.
16. Thompson SK. 1997. Effective sampling strategies for spatial studies. Metron 55: 3-21.
17. van Groenigen J-W, Stein A. 1998. Constrained optimisation of spatial sampling using continuous simulated annealing. Journal of Environmental Quality 27: 1078-1086.
18. Wiens DP. 2005. Robustness in spatial studies I: minimax prediction. Environmetrics, accepted.