Email this article Constructing a numerically statistical model of a homogeneous random field with the given distribution of the integral over one of the phase coordinates
- Authors: Mikhailov G.A.1,2, Kablukova E.G.1, Ogorodnikov V.A.1,2, Prigarin S.M.1,2
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Affiliations:
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences
- Novosibirsk State University
- Issue: Vol 489, No 2 (2019)
- Pages: 131-135
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/17925
- DOI: https://doi.org/10.31857/S0869-56524892131-135
- ID: 17925
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Abstract
The problem of constructing a numerically realizable model of a three-dimensional homogeneous random field in a “horizontal” layer 0 < z < H with given one-dimensional distribution and correlation function of the integral over “vertical” coordinate z is solved. An aggregate of n independent elementary horizontal layers of thickness h = H/n, vertically shifted by a random value uniformly distributed in the interval (0, h) is considered as a basic model.
About the authors
G. A. Mikhailov
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Author for correspondence.
Email: gam@osmf.sscc.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090E. G. Kablukova
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences
Email: kablukovae@sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090
V. A. Ogorodnikov
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Email: gam@osmf.sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090
S. M. Prigarin
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch of the Russian Academy of Sciences; Novosibirsk State University
Email: gam@osmf.sscc.ru
Russian Federation, 6, Prospect Akad. Lavrentieva, Novosibirsk, 630090; 1, Pirogova street, Novosibirsk, 630090
References
- Пиранашвили З.А. Некоторые вопросы статистико-вероятностного моделирования случайных процессов. В кн.: Вопросы исследования операций. Тбилиси: Мицниереба, 1966. С. 53-91.
- Михайлов Г. А., Войтишек А. В. Численное статистическое моделирование. Методы Монте-Карло. М.: Академия, 2006.
- Ogorodnikov V. A., Kablukova E. G., Prigarin S. M. Stochastic Models of Atmospheric Clouds Structure // Statistical Paper. 2018. V. 59. № 4. P. 1521-1532.
- Боровков А. А. Математическая статистика. Новосибирск: Наука; изд-во Ин-та математики СО РАН, 1997.
- Schafer M., Bierwirth E., Ehrlich A., et al. Directional Horizontal Inhomogeneities of Cloud Optical Thickness Fields Retrieved from Ground-Based and Airborne Spectral Imaging // Atmos. Chem. Phys. 2017. V. 17. P. 2359-2372.
- Лукач Е. Характеристические функции. М.: Наука, 1979.
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