论文信息 - On the estimation and testing of spatial interaction in Gaussian lattice processes

On the estimation and testing of spatial interaction in Gaussian lattice processes

SUMMARY Maximum likelihood estimation for rectangular lattice autonormal schemes is discussed. Explicit results for the first-order isotropic scheme are given and compared with those obtained using a simple coding technique. The efficiency of the coding technique in testing for randomness on various types of lattice is assessed.

J. Besag | P. Moran

[1] P. Moran. Notes on continuous stochastic phenomena. , 1950, Biometrika.

[2] M. Ogawara. A Note on the Test of Serial Correlation Coefficients , 1951 .

[3] P. Whittle. ON STATIONARY PROCESSES IN THE PLANE , 1954 .

[4] E. Hannan. EXACT TESTS FOR SERIAL CORRELATION , 1955 .

[5] Irene A. Stegun,et al. Handbook of Mathematical Functions. , 1966 .

[6] M. Bartlett. Physical nearest-neighbour models and non-linear time-series , 1971 .

[7] P. Moran. A Gaussian Markovian process on a square lattice , 1973, Journal of Applied Probability.

[8] J. Besag. Spatial Interaction and the Statistical Analysis of Lattice Systems , 1974 .