Approximations to the covariance properties of processes averaged over irregular spatial regions
Approximations to the covariance properties of processes averaged over irregular spatial regions
复制标题
不规则空间区域上平均过程的协方差特性的近似
DOI：
10.1080/03610929408831295
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发表时间：
1994
影响因子：
0.8
通讯作者：
J. Dwyer
中科院分区：
文献类型：
--
作者：
R. J. Martin;J. Dwyer
在模拟连续区域数据时，通常是模拟区域变量本身。例如，在地理建模中，通常以简单的形式指定逆协方差矩阵。然而，在许多情况下，对潜在的连续空间过程进行建模可能是合理的。为了假定合理的模式，派生的区域过程的行为需要知道。对于精确的高斯最大似然估计，导出过程的协方差结构可能需要用于底层过程的大量参数值，因此在计算上可能是不可行的。本文考虑不规则区域的原始协方差结构和导出协方差结构之间的近似关系。推导出的协方差结构与一些常用的地理模型进行了比较，并假设了替代模型。
When modelling continuous regional data, it is common to model the regional variables themselves. For example, in geographic modelling, it is usual to specify the inverse covariance matrix in a simple form. However, in many situations it may be plausible to model an underlying continuous-space process. In order to postulate reasonable models, the behaviour of the derived regional process needs to be known. For exact Gaussian maximum likelihood estimation the covariance structure of the derived process may be needed for a large number of parameter values of the underlying process, and so may be computationally infeasible. This paper considers approximate relationships between the original and derived covariance structures for irregular regions. The derived covariance structures are compared with some geographic models in common use, and alternative models are postulated.