Incorporating parameter uncertainty into prediction intervals for spatial date modeled via a parametric variogram

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 8, Issue 3, 2003, Pages 296-309

  Wang, Fujun ^a   Wall, Melanie M ^b  

^a ELI LILLY AND COMPANY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Bootstrap; Coverage probability; Kriging; Mean squared prediction error

Indexed keywords

BOOTSTRAPPING; PREDICTION; UNCERTAINTY ANALYSIS; VARIOGRAM;

EID: 5444270433     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/1085711031661     Document Type: Article

References (13)

1. Diggle, P. J., Tawn, J. A., and Moyeed, R. A. (1998), "Model-Based Geostatistics" (with discussion), Applied Statistics, 47, 299-350.
2. Genton, M. G. (1998), "Variogram Fitting by Generalized Least Squares Using an Explicit Formula for the Covariance Structure," Mathematical Geology, 30, 323-345.
3. Harville, D. A., and Jeske, D. R. (1992), "Mean Squared Error of Estimation or Prediction under a General Linear Model," Journal of the American Statistical Association, 87, 724-731.
4. Kackar, R. N., and Harville, D. A. (1984), "Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models," Journal of the American Statistical Association, 79, 853-862.
5. Lahiri, S. N., Lee, Y., and Cressie, N. (2002), "On Asymptotic Distribution and Asymptotic Efficiency of Least Squares Estimation of Spatial Variogram Parameters," Journal of Statistical Planning and Inference, 103, 65-85.
6. Matheron, G. (1962), "Traite de Geostatistique Appliquee, Tome I," Memoires du Bureau de Recherches Geologiques et Minieres, 14, Paris: Editions Technip.
7. Matheron, G. (1971), "The Theory of Regionalized Variables and Its Application," Ecole Nationale Superiore des Mines de Paris.
8. Prasad, N. G., and Rao, J. N. K. (1986), "On the Estimation of Mean Square Error of Small Area Predictors," Technical Report 97, Carleton University, Laboratory for Research in Statistics and Probability, Ottawa.
9. Putter, H., and Young, A. (2001), "On the Effect of Covariance Estimation on the Accuracy of Kriging Predictors," Bernoulli, 7, 421-438.
10. Spiegelhalter, D. J., Thomas, A., and Best, N. G. (1999), WinBUGS Version 1.2 User Manual, MRC Biostatistics Unit.
11. Stein, M. L. (1988), "Asymptotically Efficient Prediction of a Random Field with a Misspecified Covariance, Function," The Annals of Statistics, 16, 55-63.
12. Zimmerman, D., and Cressie, N. (1992), "Mean Squared Prediction Error in the Spatial Linear Model with Estimated Covariance Parameters," Annals of the Institute of Statistical Mathematics, 44, 27-43.
13. Zimmerman, D. L., and Zimmerman, M. B, (1991), "A Comparison of Spatial Semivariogram Estimators and Corresponding Ordinary Kriging Predictors," Technometrics, 33, 77-91.