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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 “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.

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Funding

This work was performed within the state task 0315-2019-0002 and was supported in part by the Russian Foundation for Basic Research, grant nos. 18-01-00149, 18-01-00356, 18-01-00609.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    G. A. Mikhailov, E. G. Kablukova, V. A. Ogorodnikov & S. M. Prigarin

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    G. A. Mikhailov, V. A. Ogorodnikov & S. M. Prigarin

Authors
  1. G. A. Mikhailov
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  2. E. G. Kablukova
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  3. V. A. Ogorodnikov
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  4. S. M. Prigarin
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Corresponding authors

Correspondence to G. A. Mikhailov or E. G. Kablukova.

Additional information

Translated by I. Ruzanova

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Mikhailov, G.A., Kablukova, E.G., Ogorodnikov, V.A. et al. Constructing a Numerically Statistical Model of a Homogeneous Random Field with a Given Distribution of the Integral over One of the Phase Coordinates. Dokl. Math. 100, 529–532 (2019). https://doi.org/10.1134/S1064562419060073

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  • DOI: https://doi.org/10.1134/S1064562419060073

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