Constructing a numerically statistical model of a homogeneous random field with a given distribution of the integral over one of the phase coordinates

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Abstract

A numerically implementable model of a three-dimensional homogeneous random field in a “hor-izontal” 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.

Original languageEnglish
Pages (from-to)529-532
Number of pages4
JournalDoklady Mathematics
Volume100
Issue number3
DOIs
Publication statusPublished - Nov 2019

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