The erdős–rényi law and strong limit theorems of probability

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The erdős–rényi law and strong limit theorems of probability. / Frolov, Andrei N.

In: Studia Scientiarum Mathematicarum Hungarica, Vol. 58, No. 2, 29.06.2021, p. 263-273.

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

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Frolov, Andrei N. / The erdős–rényi law and strong limit theorems of probability. In: Studia Scientiarum Mathematicarum Hungarica. 2021 ; Vol. 58, No. 2. pp. 263-273.

BibTeX

@article{2a84776ef9684e9fbdef29002bae7b3b,

title = "The erd{\H o}s–r{\'e}nyi law and strong limit theorems of probability",

abstract = "Fifty years ago P. Erd{\H o}s and A. R{\'e}nyi published their famous paper on the new law of large numbers. In this survey, we describe numerous results and achievements which are related with this paper or motivated by it during these years.",

keywords = "Compound Poisson processes, Erd{\H o}s–R{\'e}nyi law, Increments of sums of independent random variables and stochastic processes, Processes with independent increments, Random fields, Renewal processes, Shepp law, Strong limit theorems, Sums of independent random variables, random fields, EXACT CONVERGENCE-RATES, STRONG APPROXIMATION LAWS, EXTENSION, processes with independent increments, sums of independent random variables, Erdos-Renyi law, BIG, renewal processes, CSORGO, WIENER, strong limit theorems, increments of sums of independent random variables and stochastic processes, PARTIAL-SUMS, LARGE INCREMENTS, LOGARITHM, SIDED STRONG LAWS",

author = "Frolov, {Andrei N.}",

note = "Publisher Copyright: {\textcopyright} 2020 Akad{\'e}miai Kiad{\'o}, Budapest",

year = "2021",

month = jun,

day = "29",

doi = "10.1556/012.2021.58.2.1498",

language = "English",

volume = "58",

pages = "263--273",

journal = "Studia Scientiarum Mathematicarum Hungarica",

issn = "0081-6906",

publisher = "Akademiai Kiado",

number = "2",

}

RIS

TY - JOUR

T1 - The erdős–rényi law and strong limit theorems of probability

AU - Frolov, Andrei N.

PY - 2021/6/29

Y1 - 2021/6/29

N2 - Fifty years ago P. Erdős and A. Rényi published their famous paper on the new law of large numbers. In this survey, we describe numerous results and achievements which are related with this paper or motivated by it during these years.

AB - Fifty years ago P. Erdős and A. Rényi published their famous paper on the new law of large numbers. In this survey, we describe numerous results and achievements which are related with this paper or motivated by it during these years.

KW - Compound Poisson processes

KW - Erdős–Rényi law

KW - Increments of sums of independent random variables and stochastic processes

KW - Processes with independent increments

KW - Random fields

KW - Renewal processes

KW - Shepp law

KW - Strong limit theorems

KW - Sums of independent random variables

KW - random fields

KW - EXACT CONVERGENCE-RATES

KW - STRONG APPROXIMATION LAWS

KW - EXTENSION

KW - processes with independent increments

KW - sums of independent random variables

KW - Erdos-Renyi law

KW - BIG

KW - renewal processes

KW - CSORGO

KW - WIENER

KW - strong limit theorems

KW - increments of sums of independent random variables and stochastic processes

KW - PARTIAL-SUMS

KW - LARGE INCREMENTS

KW - LOGARITHM

KW - SIDED STRONG LAWS

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UR - https://www.mendeley.com/catalogue/cd3e25b0-17c6-39c6-86e1-0975fa40ea32/

U2 - 10.1556/012.2021.58.2.1498

DO - 10.1556/012.2021.58.2.1498

M3 - Article

AN - SCOPUS:85113889036

VL - 58

SP - 263

EP - 273

JO - Studia Scientiarum Mathematicarum Hungarica

JF - Studia Scientiarum Mathematicarum Hungarica

SN - 0081-6906

IS - 2

ER -

ID: 86253873