Application of em-type algorithms to spatial data

Bibliography

• Alonso , F.J. , Angulo , J.M. and Bueso , M.C. 1996 . Estimation and Smoothing from Incomplete Data for a Class of Lattice Processes . Commun. Statist.-Theory Meth , 25 ( 3 )
   PubMed Web of Science ®Google Scholar
• Basu , S. and Reinsel , G.C. 1993 . Properties of the Spatial Unilateral First-Order ARM A Model . Advances in Applied Probability , 25 ( 3 ) : 631 – 648 .
   Web of Science ®Google Scholar
• Basu , S. 1994 . Regression Models with Spatially Correlated Errors . Journal of the American Statistical Association , 89 ( 425 ) : 88 – 99 .
   Web of Science ®Google Scholar
• Besag , J. 1981 . On a system of two-dimensional recurrence equations . J. Roy. Stat. Soc, Ser. B , 43 ( 425 ) : 302 – 309 .
   Google Scholar
• Brockwell , P.J. and Davis , R.A. 1991 . “ Time Series ” . In Theory and Methods , New York : Springer-Verlag .
   Google Scholar
• Boyles , R.A. 1983 . On the convergence of the EM algorithm . J. Roy. Stat. Soc, Ser. B , 45 : 47 – 50 .
   Google Scholar
• Cressie , N.A.C. 1991 . Statistics for Spatial Data , New York : Wiley .
   Google Scholar
• Dempster , A.P. , Laird , N.M. and Rubin , D.B. 1977 . Maximum likelihood from incomplete data via the KM algorithm . J. Roy. Statist. Soc, Ser , 39 : 1 – 38 .
   Google Scholar
• Deustch , C.V. and Journel , A.G. 1992 . GSL1B. Geostatistical Software Library and User's Guide , New York : Oxford University Press .
   Google Scholar
• Guyon , X. 1990 . Champs stationnaires sur ℤ2:modèles, statistiques et simulations . Contribuciones en Probabilidad y Estadistica Materndtica , 1
   Google Scholar
• Guyon , X. 1995 . Random Fields on a Network. Modeling, Statistics and Applications , New York : Springer-Verlag .
   Google Scholar
• Haining , R. , Griffith , D. and Bennett , R. 1989 . Maximum likelihood estimation with missing spatial data and with application to remotely sensed data . Corn-man. Statist.-Theory Meth , 18 ( 5 ) : 1875 – 1894 .
   Web of Science ®Google Scholar
• IMSL, Inc STAT/LIBRARY Houston 1989 Texas
   Google Scholar
• Katayama , T. 1979 . Restoration of noisy images using a two-dimensional linear model . IEEE Transactions on Systems, Man, and Cybernetics , SMC-9 ( 11 ) : 711 – 716 .
   Web of Science ®Google Scholar
• Kempton , R.A. and Howes , C.W. 1981 . The use of neighbouring plot values in the analysis of variety trials . Appl. Statist , 30 ( 11 ) : 59 – 70 .
   Google Scholar
• Kiiveri , H.T. and Campbell , N.A. 1989 . Covariance models for lattice data . Austral. J. Statist , 31 ( 1 ) : 62 – 77 .
   Google Scholar
• Krug , T. and Martin , R.J. 1991 . Information loss on the mean for spatial processes when some values are missing . Commun. Statist.-Theory Meth , 20 ( 7 ) : 2169 – 2194 .
   Web of Science ®Google Scholar
• Little , R.J.A. and Rubin , D.B. 1987 . Statistical Analysis with Missing Data , New York : John Wiley & Sons .
   Google Scholar
• Martin , R.J. 1979 . A subclass of lattice processes applied to a problem in planar sampling . Biornetrika , 66 ( 2 ) : 209 – 217 .
   Web of Science ®Google Scholar
• Martin , R.J. 1989 . Information loss due to incomplete data from a spatial gaus-sian one-parameter first-order conditional process . Commun. Statist.-Theory Meth , 18 ( 12 ) : 4631 – 4645 .
   Web of Science ®Google Scholar
• Martin , R.J. 1990 . The use of time-series models and methods in the analysis of agricultural field trials . Commun, Statist.-Theory Meth , 19 ( 1 ) : 55 – 81 .
   Web of Science ®Google Scholar
• Meng , X.L. and Rubin , D.B. 1993 . Maximun likelihood estimation via the KCM algorithm:A general framework . Biometrica , 80 ( 1 ) : 267 – 278 .
   Google Scholar
• Shumway , R.H. and Stoffer , D.S. 1982 . An approach to time series smoothing and forecasting using the KM algorithm . J. Time Series Anal , 3 ( 1 ) : 253 – 264 .
   Google Scholar
• Tanner , M.A. 1993 . Tools for Statistical Inference. Observed data and data augmentation methods , New York : Springer-Verlag .
   Google Scholar
• Tjøtheim , D. 1978 . Statistical spatial series modelling . Adv. Appl. Prob , 10 : 130 – 154 .
   Web of Science ®Google Scholar
• Tjøtheim , D. 1983 . Statistical spatial series modelling II:Some1 further results on unilateral lattice processes . Adv. Appl. Prob , 15 : 562 – 584 .
   Web of Science ®Google Scholar
• Van Dyk , D.A. , Meng , X.L. and Rubin , D.B. 1994 . “ Maximun Likelihood Estimation via the ECM algorithm:Computing the Asymptotic Variance ” . In Technical Report , University of Chicago . Department of Statistics
   Google Scholar
• Woods , J.W. and Radewan , C.H. 1977 . Kalman filtering in two dimensions . IEEE Trans. Inform. Theory , T-23 : 473 – 482 .
   Google Scholar
• Wu , C.F.J. 1983 . On the convergence properties of the EM algorithm . The Annals of Statistics , 11 ( 1 ) : 95 – 103 .
   Web of Science ®Google Scholar