Abstract

A numerically implementable model of a three-dimensional homogeneous random field in a “horizontal” layer 0 < z < H is constructed assuming that the integral of the field with respect to the “vertical” coordinate z has a given infinitely divisible one-dimensional distribution and a given correlation function. An aggregate of n independent elementary horizontal layers of thickness h = H/n shifted vertically by a random variable uniformly distributed in the interval (0, h) is considered as a basic model.

中文翻译：

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在一个相坐标之一上构造具有给定积分分布的均匀随机场的数值统计模型

摘要

假设“水平”层0 < z < H中的三维均匀随机场的数值可实现模型的构造是假设该场相对于“垂直”坐标z的积分具有给定的无限可分的一维分布和给定的相关函数 厚度为h = H / n的n个独立基本水平层的聚合垂直偏移了一个均匀分布在（0，h）区间内的随机变量，被视为基本模型。