Besag, J., Green, P., Higdon, D. and Mengersen, K. (1995) Bayesian computation and stochastic systems (with discussion). Statistical Science, 10, 3–66. Google Scholar
Berliner, L.M., (1996) Hierarchical Bayesian time series models. In K. Hanson and R. Silver (eds), Maximum Entropy and Bayesian Methods, Kluwer Academic Publishers, Dordrecht, pp. 15–22. Google Scholar
Brown, P.J., Le, N.D. and Zidek, J.V. (1994) Multivariate spatial interpolation and exposure to air pollutants. The Canadian Journal of Statistics, 22, 489–509. Google Scholar
Cressie, N.A.C. (1993) Statistics for Spatial Data, Revised Edition. Wiley, New York, 990 pp. Google Scholar
Easterling, D.R., Karl, T.R., Mason, E.H., Hughes, P.Y. and Bowman, D.P. (1995) United States Historical Climatology Network (HCN) Serial Temperature and Precipitation Data (revised 1995). NDP-0191R3. Carbon Dioxide Information Analysis Center, Oak Ridge National Laboratory, Oak Ridge, Tennessee. Google Scholar
Gelfand, A.E., and Smith, A.F.M. (1990) Sampling-based approaches to calculating marginal densities. Journal of the American Statistical Association, 85, 398–409. Google Scholar
Gelfand, A.E. Ghosh, S.K. Knight, J.R. and Sirmans, C.F. (1995) Spatio-temporal modelling of residential sales data (obtained from Spatial Statistics Preprint Service, http://hp2.niss. rti.org/organization/personnel/granville/ ).
Gelman, A., (1996) Inference and monitoring convergence. In W.R. Gilks, S. Richardson and D.J. Spiegelhalter (eds), Markov Chain Monte Carlo in Practice. Chapman and Hall, London, pp. 131–40. Google Scholar
Gelman, A. and Rubin, D.B. (1992) Inference from iterative simulation using multiple sequences. Statistical Science 7, 457–72. Google Scholar
Geman, S. and Geman, D. (1984) Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 721–41. Google Scholar
Gilks, W.R., (1996) Full conditional distributions. In W.R. Gilks, S. Richardson, and D.J. Spiegelhalter (eds), Markov Chain Monte Carlo in Practice. Chapman and Hall, London, pp. 75-88. Google Scholar
Gilks, W.R., Richardson, S. and Spiegelhalter D.J. (eds) (1996) Markov Chain Monte Carlo in Practice. Chapman and Hall, London, 486 pp. Google Scholar
Hainsworth, T.J. and Mardia, K.V. (1992) A Markov random field restoration of image sequences. In R. Chellappa and A. Jain (eds), Markov Random Fields: theory and applications. Academic Press, London, 409–45. Google Scholar
Handcock, M.S. and Wallis, J.R. (1994) An approach to statistical spatial-temporal modelling of meteorological fields (with discussion). Journal of the American Statistical Association, 86, 368–90. Google Scholar
Hastings, W.K. (1970) Monte Carlo sampling methods using Markov chains and their applications. Biometrika, 57, 97–109. Google Scholar
Holton, J.R., (1992) An Introduction to Dynamic Meteorology, Academic Press, San Diego. Google Scholar
Huang, H.C. and Cressie, N. (1996) Spatio-temporal prediction of snow water equivalent using the Kalman filter. Computational Statistics and Data Analysis, 22, 159–75. Google Scholar
Hughes, J.P. and Guttorp, P. (1994) Incorporating spatial dependence and atmospheric data in a model of precipitation. Journal of Applied Meteorology, 33, 1503–15. Google Scholar
Metropolis, N., Rosenbluth, A.W. Rosenbluth, M.N., Teller, A.H. and Teller, E. (1953) Equation of state calculations by fast computing machines. Journal of Chemical Physics 21, 1087–92. Google Scholar
Roberts, G.O., (1996) Markov chain concepts related to sampling algorithms. In W.R. Gilks, S. Richardson and D.J. Spiegelhalter (eds), Markov Chain Monte Carlo in Practice. Chapman and Hall, London, pp. 45–57. Google Scholar
Waller, L.A., Carlin, B.P., Xia, H. and Gelfand, A.E. (1997) Hierarchical spatio-temporal mapping of disease rates. Journal of the American Statistical Association 92, 607–17. Google Scholar
West, M. and Harrison, J. (1989) Bayesian Forecasting and Dynamic Models. Springer-Verlag, New York. Google Scholar
Wikle, C.K. (1996) Spatio-temporal statistical models with applications to atmospheric processes. PhD dissertation, Iowa State University.