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Distribution density of the norm of a stable vector. / Lifshits, M. A.

In: Journal of Soviet Mathematics, Vol. 43, No. 6, 01.12.1988, p. 2810-2817.

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

Harvard

Lifshits, MA 1988, 'Distribution density of the norm of a stable vector', Journal of Soviet Mathematics, vol. 43, no. 6, pp. 2810-2817. https://doi.org/10.1007/BF01129895

APA

Lifshits, M. A. (1988). Distribution density of the norm of a stable vector. Journal of Soviet Mathematics, 43(6), 2810-2817. https://doi.org/10.1007/BF01129895

Vancouver

Lifshits MA. Distribution density of the norm of a stable vector. Journal of Soviet Mathematics. 1988 Dec 1;43(6):2810-2817. https://doi.org/10.1007/BF01129895

Author

Lifshits, M. A. / Distribution density of the norm of a stable vector. In: Journal of Soviet Mathematics. 1988 ; Vol. 43, No. 6. pp. 2810-2817.

BibTeX

@article{83d88b7320a14b63a13895c2644b18f4,
title = "Distribution density of the norm of a stable vector",
abstract = "Let B be a Banach space, X be a stable B -valued random vector with exponent d∈(0,2), and P(·) be the distribution density of the norm of X. In this paper we study the question of the boundedness of P. In particular, we construct examples of a space B with a symmetric stable vector X with exponent d∈(1,2) with unbounded P and prove that if X is a nondegenerate strictly stable vector with exponent d∈(0,1), then P is bounded.",
author = "Lifshits, {M. A.}",
year = "1988",
month = dec,
day = "1",
doi = "10.1007/BF01129895",
language = "English",
volume = "43",
pages = "2810--2817",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Distribution density of the norm of a stable vector

AU - Lifshits, M. A.

PY - 1988/12/1

Y1 - 1988/12/1

N2 - Let B be a Banach space, X be a stable B -valued random vector with exponent d∈(0,2), and P(·) be the distribution density of the norm of X. In this paper we study the question of the boundedness of P. In particular, we construct examples of a space B with a symmetric stable vector X with exponent d∈(1,2) with unbounded P and prove that if X is a nondegenerate strictly stable vector with exponent d∈(0,1), then P is bounded.

AB - Let B be a Banach space, X be a stable B -valued random vector with exponent d∈(0,2), and P(·) be the distribution density of the norm of X. In this paper we study the question of the boundedness of P. In particular, we construct examples of a space B with a symmetric stable vector X with exponent d∈(1,2) with unbounded P and prove that if X is a nondegenerate strictly stable vector with exponent d∈(0,1), then P is bounded.

UR - http://www.scopus.com/inward/record.url?scp=34250089927&partnerID=8YFLogxK

U2 - 10.1007/BF01129895

DO - 10.1007/BF01129895

M3 - Article

AN - SCOPUS:34250089927

VL - 43

SP - 2810

EP - 2817

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 43812033