On Some Relations Linking Exponential and Geometrical Record Random Variables

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On Some Relations Linking Exponential and Geometrical Record Random Variables. / Ananjevskii, S. M. ; Nevzorov, V. B. .

In: Vestnik St. Petersburg University: Mathematics, Vol. 54, No. 1, 30.03.2021, p. 1-7.

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

BibTeX

@article{c9fb5d53a481469d9d84e771c166076a,

title = "On Some Relations Linking Exponential and Geometrical Record Random Variables",

abstract = "Various record achievements are recorded in a number of areas of human activity. In this case, some discretization of the obtained observation results repeatedly occurs with varying accuracy (up to a second, up to a meter, and up to a thousand individuals). Using exponential and geometric distributions as an example, we show how such a transition from continuous to discrete probability distributions changes the number of record values in the corresponding sequences of random variables.",

keywords = "ponential distributions, geometrical distributions, record times, record values, weak records, exponential distributions",

author = "Ananjevskii, {S. M.} and Nevzorov, {V. B.}",

note = "Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",

year = "2021",

month = mar,

day = "30",

doi = "10.1134/S1063454121010039",

language = "English",

volume = "54",

pages = "1--7",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "1",

}

RIS

TY - JOUR

T1 - On Some Relations Linking Exponential and Geometrical Record Random Variables

AU - Ananjevskii, S. M.

AU - Nevzorov, V. B.

PY - 2021/3/30

Y1 - 2021/3/30

N2 - Various record achievements are recorded in a number of areas of human activity. In this case, some discretization of the obtained observation results repeatedly occurs with varying accuracy (up to a second, up to a meter, and up to a thousand individuals). Using exponential and geometric distributions as an example, we show how such a transition from continuous to discrete probability distributions changes the number of record values in the corresponding sequences of random variables.

AB - Various record achievements are recorded in a number of areas of human activity. In this case, some discretization of the obtained observation results repeatedly occurs with varying accuracy (up to a second, up to a meter, and up to a thousand individuals). Using exponential and geometric distributions as an example, we show how such a transition from continuous to discrete probability distributions changes the number of record values in the corresponding sequences of random variables.

KW - ponential distributions

KW - geometrical distributions

KW - record times

KW - record values

KW - weak records

KW - exponential distributions

UR - https://proxy.library.spbu.ru:2096/article/10.1134/S1063454121010039

UR - https://proxy.library.spbu.ru:3693/item.asp?id=46075658

UR - http://www.scopus.com/inward/record.url?scp=85106296549&partnerID=8YFLogxK

U2 - 10.1134/S1063454121010039

DO - 10.1134/S1063454121010039

M3 - Article

VL - 54

SP - 1

EP - 7

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 86512028