Mean squared prediction error in the spatial linear model with estimated covariance parameters

Annals of the Institute of Statistical Mathematics

Volumn 44, Issue 1, 1992, Pages 27-43

  Zimmerman, Dale L ^a   Cressie, Noel ^b  

^a UNIVERSITY OF IOWA   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

Best linear unbiased prediction; generalized covariances; geostatistics; kriging; spatial models

Indexed keywords

EID: 0001839646     PISSN: 00203157     EISSN: 15729052     Source Type: Journal    
DOI: 10.1007/BF00048668     Document Type: Article

References (31)

1. Variance of weighted regression estimators when sampling errors are independent and heteroscedastic
2. The effect of estimating weights in weighted least squares
3. Fitting variogram models by weighted least squares
4. Kriging nonstationary data
5. A nonparametric view of generalized covariances for kriging
6. Linear estimation of non-stationary spatial phenomena
7. Two methods with different objectives: splines and kriging
8. The Gauss-Markov theorem in multivariate analysis
9. Properties of predictors for autoregressive time series
10. Best linear unbiased prediction in the generalized regression model
11. Decomposition of prediction error
12. Approximations for standard errors of estimators of fixed and random effects in mixed linear models
13. On the unbiased estimation of fixed effects in a mixed model for growth curves
14. Statistical estimation of polynomial generalized covariance functions and hydrologic applications
15. Minimum variance unbiased quadratic estimation of covariances of regionalized variables
16. Maximum likelihood estimation of models for residual covariance in spatial regression
17. Minimum norm quadratic estimation of components of spatial covariances
18. The intrinsic random functions and their applications
19. Asymptotic properties of prediction errors for the multivariate autoregressive model using estimated parameters
20. Estimation and prediction in a multivariate random effects generalized linear model
21. Hypothesis testing in linear models when the error covariance matrix is nonscalar
22. The effect of drift on the experimental semivariogram
23. Prediction error in a linear model with estimated parameters
24. Some general results about uncorrelated statistics
25. Asymptotic mean square prediction error for an autoregressive model with estimated coefficients
26. Efficiency of kriging estimation for square, triangular, and hexagonal grids
27. A comparison of spatial semivariogram estimators and corresponding ordinary kriging predictors