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On the Estimation and Testing of Spatial Interaction in Gaussian Lattice Processes

高斯格点过程空间相互作用的估计与检验

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.

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

高斯格点过程空间交互的估计与检验

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.

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On the correlation structure of some two-dimensional stationary processes

若干二维平稳过程的相关结构

The correlation structure of the class of stationary, unilateral, linear autoregressions defined on a plane lattice is considered. It is shown that although standard techniques for deriving the correlogram analytically are not immediately appropriate, it is, nevertheless, possible to give a simple solution in a certain region of the plane provided that the number of regressors is small. The remainder of the correlogram tends to be analytically awkward but can be very easily…

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On the Correlation Structure of Some Two-Dimensional Stationary Processes

若干二维平稳过程的相关结构

The correlation structure of the class of stationary, unilateral, linear autoregressions defined on a plane lattice is considered. It is shown that although standard techniques for deriving the correlogram analytically are not immediately appropriate, it is, nevertheless, possible to give a simple solution in a certain region of the plane provided that the number of regressors is small. The remainder of the correlogram tends to be analytically awkward but can be very easily…

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