Bayesian multivariate spatial interpolation with data missing by design

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 59, Issue 2, 1997, Pages 501-510

  Le, Nhu D ^a,b   Sun, Weimin ^c   Zidek, James V ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b BRITISH COLUMBIA CANCER AGENCY   (Canada)

^c STATISTICS CANADA   (Canada)

Author keywords

Bayesian interpolation; Co kriging; Matrix t distribution; Predictive distribution; Spatial interpolation

Indexed keywords

EID: 0000817937     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00081     Document Type: Article

References (15)

1. Anderson, T. W. (1984) An Introduction to Multivariate Statistical Analysis. New York: Wiley.
2. Brown, P. J. (1993) Measurement, Regression, and Calibration. Oxford: Clarendon.
3. Brown, P. J., Le, N. D. and Zidek, J. V. (1994a) Multivariate spatial interpolation and exposure to air pollutants. Can. J. Statist., 22, 489-509.
4. _ (1994b) Inference for a covariance matrix. In Aspects of Uncertainty: a Tribute to D. V. Lindley (eds A. F. M. Smith and P. R. Freeman). Chichester: Wiley.
5. Chen, C.-F. (1979) Bayesian inference for a normal dispersion matrix and its application to stochastic multiple regression analysis. J. R. Statist. Soc. B, 41, 235-248.
6. Cressie, N. (1991) Statistics for Spatial Data. New York: Wiley.
7. Dawid, A. P. (1981) Some matrix-variate distribution theory. Biometrika, 68, 265-274.
8. Dempster, A. P., Laird, N. M. and Rubin, D. B. (1977) Maximum likelihood from incomplete data via the EM algorithm (with discussion). J. R. Statist. Soc. B, 39, 1-38.
9. Haas, T. C. (1990) Lognormal and moving window methods of estimating acid deposition. J. Am. Statist. Ass., 85, 950-963.
10. Le, N. D. and Zidek, J. V. (1992) Interpolation with uncertain spatial covariance: a Bayesian alternative to kriging. J. Multiv. Anal., 43, 351-374.
11. Press, S. J. (1982) Applied Multivariate Analysis - using Bayesian and Frequentist Methods of Inference. New York: Holt, Rinehart and Winston.
12. Sampson, P. and Guttorp, P. (1992) Nonparametric estimation of nonstationary spatial covariance structure. J. Am. Statist. Ass., 87, 108-119.
13. Sun, W. (1994) Bayesian multivariate interpolation with missing data and its applications. PhD Thesis. Department of Statistics, University of British Columbia, Vancouver.
14. Sun, W., Le, N. D., Zidek, J. V. and Burnett, R. (1995) Bayesian multivariate spatial interpolation: application and assessment. Technical Report 146. Department of Statistics, University of British Columbia, Vancouver.
15. Wu, C. F. J. (1983) On the convergence properties of the EM algorithm. Ann. Statist., 11, 95-103.