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Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. / Khartov, A. A. .

в: Journal of Mathematical Sciences (United States), Том 229, № 6, 2018, стр. 792-802.

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

Harvard

Khartov, AA 2018, 'Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables', Journal of Mathematical Sciences (United States), Том. 229, № 6, стр. 792-802. https://doi.org/10.1007/s10958-018-3719-y

APA

Khartov, A. A. (2018). Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. Journal of Mathematical Sciences (United States), 229(6), 792-802. https://doi.org/10.1007/s10958-018-3719-y

Vancouver

Khartov AA. Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. Journal of Mathematical Sciences (United States). 2018;229(6):792-802. https://doi.org/10.1007/s10958-018-3719-y

Author

Khartov, A. A. . / Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. в: Journal of Mathematical Sciences (United States). 2018 ; Том 229, № 6. стр. 792-802.

BibTeX

@article{72724555d760416e822ac14ab28b6ea9,
title = "Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables",
abstract = "The sequences of distributions of centered sums of independent random variables are considered within the framework of the series scheme, without assuming the classical conditions for uniform asymptotic smallness and uniform limit constancy. Necessary and sufficient conditions are obtained for relative and stochastic compactness of such sequences in terms of the characteristic functions of summable random variables and with using their τ-centers.",
author = "Khartov, {A. A.}",
note = "Khartov, A.A. Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. J Math Sci 229, 792–802 (2018). https://doi.org/10.1007/s10958-018-3719-y",
year = "2018",
doi = "10.1007/s10958-018-3719-y",
language = "English",
volume = "229",
pages = "792--802",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables

AU - Khartov, A. A.

N1 - Khartov, A.A. Characteristic Functions and Compactness of Distributions of Sums of Independent Random Variables. J Math Sci 229, 792–802 (2018). https://doi.org/10.1007/s10958-018-3719-y

PY - 2018

Y1 - 2018

N2 - The sequences of distributions of centered sums of independent random variables are considered within the framework of the series scheme, without assuming the classical conditions for uniform asymptotic smallness and uniform limit constancy. Necessary and sufficient conditions are obtained for relative and stochastic compactness of such sequences in terms of the characteristic functions of summable random variables and with using their τ-centers.

AB - The sequences of distributions of centered sums of independent random variables are considered within the framework of the series scheme, without assuming the classical conditions for uniform asymptotic smallness and uniform limit constancy. Necessary and sufficient conditions are obtained for relative and stochastic compactness of such sequences in terms of the characteristic functions of summable random variables and with using their τ-centers.

UR - http://www.scopus.com/inward/record.url?scp=85042228692&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3719-y

DO - 10.1007/s10958-018-3719-y

M3 - Article

VL - 229

SP - 792

EP - 802

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 15924090