Convex Hulls of Random Vectors with Regularly Varying Distribution

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Convex Hulls of Random Vectors with Regularly Varying Distribution. / Simarova, E.N.

In: Journal of Mathematical Sciences, Vol. 286, No. 5, 2024, p. 782-797.

Research output: Contribution to journal › Article › peer-review

Author

Simarova, E.N. / Convex Hulls of Random Vectors with Regularly Varying Distribution. In: Journal of Mathematical Sciences. 2024 ; Vol. 286, No. 5. pp. 782-797.

BibTeX

@article{b277a312f9e649fb80d2aaced2e1e8b5,

title = "Convex Hulls of Random Vectors with Regularly Varying Distribution",

abstract = "We express the property of a random vector to have a regularly varying distribution in terms of the weak convergence of the convex hull of its normalized independent copies to the convex hull of the Poisson point process. {\textcopyright} 2025 Elsevier B.V., All rights reserved.",

author = "E.N. Simarova",

note = "Export Date: 01 November 2025; Cited By: 0; Correspondence Address: E.N. Simarova; Chebyshev Laboratory, St.Petersburg State University, St.Petersburg, Russian Federation; email: katerina.1.14@mail.ru",

year = "2024",

doi = "10.1007/s10958-024-07542-x",

language = "Английский",

volume = "286",

pages = "782--797",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - Convex Hulls of Random Vectors with Regularly Varying Distribution

AU - Simarova, E.N.

N1 - Export Date: 01 November 2025; Cited By: 0; Correspondence Address: E.N. Simarova; Chebyshev Laboratory, St.Petersburg State University, St.Petersburg, Russian Federation; email: katerina.1.14@mail.ru

PY - 2024

Y1 - 2024

N2 - We express the property of a random vector to have a regularly varying distribution in terms of the weak convergence of the convex hull of its normalized independent copies to the convex hull of the Poisson point process. © 2025 Elsevier B.V., All rights reserved.

AB - We express the property of a random vector to have a regularly varying distribution in terms of the weak convergence of the convex hull of its normalized independent copies to the convex hull of the Poisson point process. © 2025 Elsevier B.V., All rights reserved.

U2 - 10.1007/s10958-024-07542-x

DO - 10.1007/s10958-024-07542-x

M3 - статья

VL - 286

SP - 782

EP - 797

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 143370106