A measure of association for spatial variables
A measure of association for spatial variables
复制标题
空间变量关联的度量
DOI：
10.1093/biomet/65.1.109
复制
发表时间：
1978
期刊：
影响因子：
2.7
通讯作者：
D. Tjøstheim
中科院分区：
文献类型：
--
作者：
D. Tjøstheim
摘要提出了一种空间变量关联的度量。该测量基于观测值的排名和测量点的位置坐标。对于两个独立的空间变量，表明在最佳坐标设计下，测度的方差为 l/(kn) 量级，其中 是数据点的数量，k 是观测空间的维度。规定了渐近正态性的条件，并且在从具有有限数量的测量点的总体中采样的情况下也给出了偏差和方差的渐近公式。
SUMMARYA measure of association for spatial variables is proposed. The measure is based on the ranks of the observations and on the location coordinates of the measurement points. For two independent spatial variables it is shown that under optimal coordinate designs the variance of the measure is of the order l/(kn), wherenis the number of data points andkis the dimension of the observation space. Conditions for asymptotic normality are stated, and asymptotic formulae for bias and variance are given also in the case of sampling from a population with a finite number of measurement points.