On asymptotic proximity of distributions › Научные исследования в СПбГУ

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On asymptotic proximity of distributions. / Davydov, Youri; Rotar, Vladimir.

в: Journal of Theoretical Probability, Том 22, № 1, 03.2009, стр. 82-98.

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

Harvard

Davydov, Y & Rotar, V 2009, 'On asymptotic proximity of distributions', Journal of Theoretical Probability, Том. 22, № 1, стр. 82-98. https://doi.org/10.1007/s10959-008-0178-2

APA

Davydov, Y., & Rotar, V. (2009). On asymptotic proximity of distributions. Journal of Theoretical Probability, 22(1), 82-98. https://doi.org/10.1007/s10959-008-0178-2

Vancouver

Davydov Y, Rotar V. On asymptotic proximity of distributions. Journal of Theoretical Probability. 2009 Март;22(1):82-98. https://doi.org/10.1007/s10959-008-0178-2

Author

Davydov, Youri ; Rotar, Vladimir. / On asymptotic proximity of distributions. в: Journal of Theoretical Probability. 2009 ; Том 22, № 1. стр. 82-98.

BibTeX

@article{6efa4472e3b2434da22be61a76e21b70,

title = "On asymptotic proximity of distributions",

abstract = "We consider some general facts concerning the convergence P n-Qn-Qn→0 as n → ∞, where P n and Q n are probability measures in a complete separable metric space. The main point is that the sequences {P n } and {Q n } are not assumed to be tight. We compare different possible definitions of the above convergence and establish some general properties.",

keywords = "Asymptotic proximity of distributions, Merging of distributions, Proximity of distributions, The central asymptotic problem, Weak convergence",

author = "Youri Davydov and Vladimir Rotar",

year = "2009",

month = mar,

doi = "10.1007/s10959-008-0178-2",

language = "English",

volume = "22",

pages = "82--98",

journal = "Journal of Theoretical Probability",

issn = "0894-9840",

publisher = "Springer Nature",

number = "1",

}

RIS

TY - JOUR

T1 - On asymptotic proximity of distributions

AU - Davydov, Youri

AU - Rotar, Vladimir

PY - 2009/3

Y1 - 2009/3

N2 - We consider some general facts concerning the convergence P n-Qn-Qn→0 as n → ∞, where P n and Q n are probability measures in a complete separable metric space. The main point is that the sequences {P n } and {Q n } are not assumed to be tight. We compare different possible definitions of the above convergence and establish some general properties.

AB - We consider some general facts concerning the convergence P n-Qn-Qn→0 as n → ∞, where P n and Q n are probability measures in a complete separable metric space. The main point is that the sequences {P n } and {Q n } are not assumed to be tight. We compare different possible definitions of the above convergence and establish some general properties.

KW - Asymptotic proximity of distributions

KW - Merging of distributions

KW - Proximity of distributions

KW - The central asymptotic problem

KW - Weak convergence

UR - http://www.scopus.com/inward/record.url?scp=58549104714&partnerID=8YFLogxK

U2 - 10.1007/s10959-008-0178-2

DO - 10.1007/s10959-008-0178-2

M3 - Article

AN - SCOPUS:58549104714

VL - 22

SP - 82

EP - 98

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

SN - 0894-9840

IS - 1

ER -

ID: 73460888