Statistical Analysis of Non-Lattice Data

作者：Julian Besag · 发表于：Journal of the Royal Statistical Society Series D (The Statistician) · 年份：1975 · DOI：10.2307/2987782 · 被引用次数：1589 · 研究领域：Spatial and Panel Data Analysis、Soil Geostatistics and Mapping、Statistical Methods and Inference

In rather formal terms, the situation with which this paper is concerned may be described as follows. We are given a fixed system of n sites, labelled by the first n positive integers, and an associated vector x of observations, Xi, . . ., Xn, which, in turn, is presumed to be a realization of a vector X of (dependent) random variables, Xi, . . ., X.. In practice, the sites may represent points or regions in space and the random variables may be either continuous or discrete. The main statistical objectives are the following: firstly, to provide a means of using the available concomitant information, particularly the configuration of the sites, to attach a plausible probability distribution to the random vector X; secondly, to estimate any unknown parameters in the distribution from the realization x; thirdly, where possible, to quantify the extent of disagreement between hypothesis and observation.