This paper extends the concept of informative selection, population distribution and sample distribution to a spatial process context. These notions were first defined in a context where the output of the random process of interest consists of independent and identically distributed realisations for each individual of a population. It has been showed that informative selection was inducing a stochastic dependence among realisations on the selected units. In the context of spatial processes, the "population" is a continuous space and realisations for two different elements of the population are not independent. We show how informative selection may induce a different dependence among selected units and how the sample distribution differs from the population distribution.
翻译:本文将信息选择、人口分布和样本分布的概念扩大到空间过程背景。这些概念最初是在随机感兴趣的过程的输出包括每个人口个体独立和相同分布的实现结果的背景下界定的。已经表明,信息选择正在导致选定单位的实现结果之间产生随机依赖性。在空间过程方面,“人口”是一个连续的空间,对人口的两个不同组成部分而言,“人口”是一个不独立的实现。我们表明,信息选择可能如何导致选定单位之间的不同依赖性以及抽样分布如何与人口分布不同。