Exponential Chebyshev Inequalities for Random Graphons and Their Applications

A. V. Logachov; A. A. Mogulskii

doi:10.1134/S0037446620040114

Exponential Chebyshev Inequalities for Random Graphons and Their Applications

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We prove some exponential Chebyshev inequality andderive the large deviation principle and the law of large numbersfor the graphons constructed from a sequence of Erdős–Rényi random graphs with weights.Also, we obtain a new version of the large deviation principlefor the number of triangles included in an Erdős–Rényi graph.

Язык оригинала	английский
Страницы (с-по)	697-714
Число страниц	18
Журнал	Siberian Mathematical Journal
Том	61
Номер выпуска	4
DOI	https://doi.org/10.1134/S0037446620040114
Состояние	Опубликовано - 1 июл 2020

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10.1134/S0037446620040114

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Exponential Chebyshev Inequalities for Random Graphons and Their Applications. / Logachov, A. V.; Mogulskii, A. A.

В: Siberian Mathematical Journal, Том 61, № 4, 01.07.2020, стр. 697-714.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Exponential Chebyshev Inequalities for Random Graphons and Their Applications

AU - Logachov, A. V.

AU - Mogulskii, A. A.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - We prove some exponential Chebyshev inequality andderive the large deviation principle and the law of large numbersfor the graphons constructed from a sequence of Erdős–Rényi random graphs with weights.Also, we obtain a new version of the large deviation principlefor the number of triangles included in an Erdős–Rényi graph.

AB - We prove some exponential Chebyshev inequality andderive the large deviation principle and the law of large numbersfor the graphons constructed from a sequence of Erdős–Rényi random graphs with weights.Also, we obtain a new version of the large deviation principlefor the number of triangles included in an Erdős–Rényi graph.

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KW - Erdős–Rényi graph

KW - graphon

KW - large deviation principle

KW - law of large numbers

KW - 2

KW - Erdos-Renyi graph

KW - CONVERGENT SEQUENCES

KW - 519

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U2 - 10.1134/S0037446620040114

DO - 10.1134/S0037446620040114

M3 - Article

AN - SCOPUS:85088698705

VL - 61

SP - 697

EP - 714

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

Exponential Chebyshev Inequalities for Random Graphons and Their Applications

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