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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Constructing a numerically statistical model of a homogeneous random field with a given distribution of the integral over one of the phase coordinates. / Mikhailov, G. A.; Kablukova, E. G.; Ogorodnikov, V. A. и др.

в: Doklady Mathematics, Том 100, № 3, 11.2019, стр. 529-532.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{bee7e885a29e48fa8590d13e120ac221,

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

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.",

author = "Mikhailov, {G. A.} and Kablukova, {E. G.} and Ogorodnikov, {V. A.} and Prigarin, {S. M.}",

year = "2019",

month = nov,

doi = "10.1134/S1064562419060073",

language = "English",

volume = "100",

pages = "529--532",

journal = "Doklady Mathematics",

issn = "1064-5624",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - Constructing a numerically statistical model of a homogeneous random field with a given distribution of the integral over one of the phase coordinates

AU - Mikhailov, G. A.

AU - Kablukova, E. G.

AU - Ogorodnikov, V. A.

AU - Prigarin, S. M.

PY - 2019/11

Y1 - 2019/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85081643472&partnerID=8YFLogxK

U2 - 10.1134/S1064562419060073

DO - 10.1134/S1064562419060073

M3 - Article

AN - SCOPUS:85081643472

VL - 100

SP - 529

EP - 532

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 3

ER -

ID: 23804200