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Spatial Interaction and the Statistical Analysis of Lattice Systems

文献名称 Spatial Interaction and the Statistical Analysis of Lattice Systems
文献作者 Julian Besag
作者所在单位 University of Liverpool
文献分类 已发表文献
学科一级分类 统计
学科二级分类 统计学
文献摘要 The formulation of conditional probability models for finite systems of
spatially interacting random variables is examined. A simple alternative
proof of the Hammersley-Clifford theorem is presented and the theorem is
then used to construct specific spatial schemes on and off the lattice.
Particular emphasis is placed upon practical applications of the models in
plant ecology when the variates are binary or Gaussian. Some aspects of
infinite lattice Gaussian processes are discussed. Methods of statistical
analysis for lattice schemes are proposed, including a very flexible coding
technique. The methods are illustrated by two numerical examples. It is
maintained throughout that the conditional probability approach to the
specification and analysis of spatial interaction is more attractive than the
alternative joint probability approach.
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关键字 MARKOV FIELDS; SPATIAL INTERACTION;AUTO-MODELS; NEAREST-NEIGHBOUR SCHEMES; STATISTICAL ANALYSIS OF LATTICE SCHEMES ; CODING TECHNIQUES; SIMULTANEOUS BILATERAL AUTOREGRESSIONS; CONDITIONAL PROBABILITY MODELS
发表所在刊物(或来源) Journal of the Royal Statistical Society. Series B (Methodological), Vol. 36, No. 2. (1974), pp.192-236.
发表时间 1974
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