Identification of model components for a class of continuous spatiotemporal models

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 8, Issue 1, 2003, Pages 105-121

  Hartfield, Molly I ^a   Gunst, Richard F ^b  

^a Signature Science LLC   (United States)

^b SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

ARIMA; Geostatistics; Intrinsic random functions; Kalman filter; Kriging; REML; Variogram

Indexed keywords

ENVIRONMENTAL MODELING; SPATIOTEMPORAL ANALYSIS; STATISTICAL ANALYSIS;

EID: 5444230598     PISSN: 10857117     EISSN: None     Source Type: Journal    
DOI: 10.1198/1085711031175     Document Type: Article

References (38)

1. Ali, M. M. (1979), "Analysis of Stationary Spatial-Temporal Processes: Estimation and Prediction," Biometrika, 66, 513-518.
2. Bennet, R. J. (1974), "The Representation and Identification of Spatio-Temporal Systems: An Example of Population Diffusion in North-west England," Transactions and Papers of the Institute of British Geographers, 66, 73-94.
3. Bilonick, R. A. (1985), "The Space-Time Distribution of Sulfate Deposition in the Northeastern United States," Atmospheric Environment, 19, 1829-1845.
4. Box, G. E. P., and Jenkins, G. (1976), Time Series Analysis: Forecasting and Control, New York: Wiley.
5. Brockwell, P. J., and Davis, R. A. (1991), Time Series: Theory and Methods, New York: Springer.
6. Cavanagh, C. L., and Rothenberg, T. J. (1995), "Generalized Least Squares with Nonnormal Errors," in Advances in Econometrics and Quantitative Economics, eds. G. S. Maddala, R C. B. Phillips, and T. N. Srinivasan, Cambridge, MA: Basil Blackwell.
7. Christensen, R. C. (1991), Linear Models for Multivariate, Time Series and Spatial Data, New York: Springer.
8. Cliff, A. D., and Ord, J. K. (1974), "Space-Time Modeling With an Application to Regional Forecasting," Transactions and Papers of the Institute of British Geographers, 66, 119-128.
9. Cressie, N. (1985), "Fitting Variograms by Weighted Least Squares," Mathematical Geology, 17, 563-586.
10. Cressie, N. (1987), "A Nonparametric View of Generalized Covariances for Kriging," Mathematical Geology, 19, 425-449.
11. Cressie, N. (1988), "A Graphical Procedure for Determining Nonstationarity in Time Series," Journal of the American Statistical Association, 83, 1108-1116; corrigenda, 85, 272.
12. Cressie, N. (1993), Statistics for Spatial Data (revised edition), New York: Wiley.
13. Fuller, W. A. (1976), Introduction to Statistical Time Series, New York: Wiley.
14. Gunst, R. F. (1995), "Estimating Spatial Correlations From Spatial-Temporal Meteorological Data," Journal of Climate, 8, 2454-2470.
15. Gunst, R. F., Basu, S., and Brunell, R. (1993), "Defining and Estimating Global Mean Temperature Anomalies," Journal of Climate, 6, 1368-1374.
16. Guttorp, P., Sampson, P. D., and Newman, K. (1992), "Nonparametric Estimation of Spatial Covariance With Application to Monitoring Network Evaluation," in Statistics in the Environmental and Earth Sciences, eds. A. T. Walder and P. Guttorp, London: Charles W. Griffin.
17. Haas, T. C. (1995), "Local Prediction of Spatio-Temporal Processes with an Application to Wet Sulfate Deposition," Journal of the American Statistical Association, 90, 1189-1199.
18. Haslett, J., and Raftery, A. E. (1989), "Space-Time Modeling With Long-Memory Dependence: Assessing Ireland's Wind Power Resource," Applied Statistics, 38, 1-50.
19. Host, G., Omre, H., and Switzer, P. (1995), "Spatial Interpolation Errors for Monitoring Data," Journal of the American Statistical Association, 90, 853-861
20. Huang, H., and Cressie, N. (1996), "Spatio-Temporal Prediction of Snow Water Equivalent Using the Kalman Filter," Computational Statistics and Data Analysis, 2, 159-175.
21. Jazwinski, A. H. (1970), Stochastic Processes and Filtering Theory, New York: Academic Press.
22. Journel, A. G. (1985), "The Deterministic Side of Geostatistics," Journal of International Association for Mathematical Geology, 17, 1-14.
23. Journel, A. G., and Huijbregts, C. J. (1978), Mining Geostatistics, New York: Academic Press.
24. Journel, A. G., and Rossi, M. E. (1989), "When Do We Need a Trend Model in Kriging?" Mathematical Geology, 21, 715-739.
25. Kitanidis, P. K. (1993), "Generalized Covariance Functions in Estimation," Mathematical Geology, 25, 525-540.
26. Lahiri, S. N., Lee, Y., and Cressie, N. (2002), "On Asymptotic Distribution and Asymptotic Efficiency of Least Squares Estimators of Spatial Variograrn Parameters," Journal of Statistical Planning and Inference, 103, 65-85.
27. Loader, C., and Switzer, P. (1992), "Spatial Covariance Estimation for Monitoring Data," in Statistics in the Environmental and Earth Sciences, eds. A. T. Walder and P. Guttorp, London: Charles W. Griffin.
28. Matheron, G. (1973), "The Intrinsic Random Functions and Their Applications," Advances in Applied Probability, 5, 439-468.
29. Pfeifer, P. E., and Deutsch S. J. (1980), "Identification and Estimation of First Order Space-Time ARMA Models," Technometrics, 22, 397-408.
30. Rothenberg, T. J. (1984), "Approximate Normality of Generalized Least Squares Estimates," Econometrica, 52, 811-827.
31. Multivariate Geostatistical Trend Detection and Network Evaluation of Space-Time Acid Deposition Data-I. Methodology," Atmospheric Environment, 26A, 2603-2614.
32. Rouhani, S., and Hall, T. J. (1989), "Space-Time Kriging of Groundwater Data," Geostatistics (vol. 2), ed. M. Armstrong, New York: Kluwer.
33. Rouhani, S., and Wackernagel, H. (1990), "Multivariate Geostatistical Approach to Space-Time Data Analysis," Water Resources Research, 26, 585-591.
34. Seber, G. A. F, and Wild, C. J. (1989), Nonlinear Regression, New York: Wiley.
35. Solna, K., and Switzer, P. (1996), "Time Trend Estimation for a Geographic Region," Journal of the American Statistical Association, 91, 577-589.
36. Stein, M. (1986), "A Simple Model for Spatio-Temporal Processes," Water Resources Research, 22, 2107-2110.
37. Theil, H. (1971), Principles of Econometrics, New York: Wiley.
38. " Statistica Neerlandica, 37, 127-141.