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On Some Probability Distributions Related to the Classical Bernoulli Scheme. II. / Ананьевский, Сергей Михайлович; Невзоров, Валерий Борисович.

In: Vestnik St. Petersburg University: Mathematics, Vol. 56, No. 1, 01.03.2023, p. 9-14.

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

Harvard

Ананьевский, СМ & Невзоров, ВБ 2023, 'On Some Probability Distributions Related to the Classical Bernoulli Scheme. II', Vestnik St. Petersburg University: Mathematics, vol. 56, no. 1, pp. 9-14. https://doi.org/10.1134/S106345412301003X

APA

Ананьевский, С. М., & Невзоров, В. Б. (2023). On Some Probability Distributions Related to the Classical Bernoulli Scheme. II. Vestnik St. Petersburg University: Mathematics, 56(1), 9-14. https://doi.org/10.1134/S106345412301003X

Vancouver

Ананьевский СМ, Невзоров ВБ. On Some Probability Distributions Related to the Classical Bernoulli Scheme. II. Vestnik St. Petersburg University: Mathematics. 2023 Mar 1;56(1):9-14. https://doi.org/10.1134/S106345412301003X

Author

Ананьевский, Сергей Михайлович ; Невзоров, Валерий Борисович. / On Some Probability Distributions Related to the Classical Bernoulli Scheme. II. In: Vestnik St. Petersburg University: Mathematics. 2023 ; Vol. 56, No. 1. pp. 9-14.

BibTeX

@article{5dc1f55e69d347f98800f0baa14bd8f9,
title = "On Some Probability Distributions Related to the Classical Bernoulli Scheme. II",
abstract = "Abstract: The classical scheme of independent Bernoulli trials has been one of the most popular topics in probability theory for more than three centuries (starting with the works of Jacob Bernoulli). This scheme is ideal for formulating and solving various practical problems. Many results have been obtained using modifications of this scheme; however, new situations and new problems appear, and they require further advancement in the study of various random variables somehow related to independent Bernoulli trials. In this work, we continue to study some problems related to a series of successes and failures in sequences of Bernoulli random variables. This paper represents a direct continuation of our work “On Some Probability Distributions Related to the Classical Bernoulli Scheme” published in 2022.",
keywords = "Bernoulli scheme, binomial distribution, generating functions, geometric distribution",
author = "Ананьевский, {Сергей Михайлович} and Невзоров, {Валерий Борисович}",
year = "2023",
month = mar,
day = "1",
doi = "10.1134/S106345412301003X",
language = "English",
volume = "56",
pages = "9--14",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - On Some Probability Distributions Related to the Classical Bernoulli Scheme. II

AU - Ананьевский, Сергей Михайлович

AU - Невзоров, Валерий Борисович

PY - 2023/3/1

Y1 - 2023/3/1

N2 - Abstract: The classical scheme of independent Bernoulli trials has been one of the most popular topics in probability theory for more than three centuries (starting with the works of Jacob Bernoulli). This scheme is ideal for formulating and solving various practical problems. Many results have been obtained using modifications of this scheme; however, new situations and new problems appear, and they require further advancement in the study of various random variables somehow related to independent Bernoulli trials. In this work, we continue to study some problems related to a series of successes and failures in sequences of Bernoulli random variables. This paper represents a direct continuation of our work “On Some Probability Distributions Related to the Classical Bernoulli Scheme” published in 2022.

AB - Abstract: The classical scheme of independent Bernoulli trials has been one of the most popular topics in probability theory for more than three centuries (starting with the works of Jacob Bernoulli). This scheme is ideal for formulating and solving various practical problems. Many results have been obtained using modifications of this scheme; however, new situations and new problems appear, and they require further advancement in the study of various random variables somehow related to independent Bernoulli trials. In this work, we continue to study some problems related to a series of successes and failures in sequences of Bernoulli random variables. This paper represents a direct continuation of our work “On Some Probability Distributions Related to the Classical Bernoulli Scheme” published in 2022.

KW - Bernoulli scheme

KW - binomial distribution

KW - generating functions

KW - geometric distribution

UR - https://www.mendeley.com/catalogue/38c85435-1970-363e-9f45-c88438e9b32f/

U2 - 10.1134/S106345412301003X

DO - 10.1134/S106345412301003X

M3 - Article

VL - 56

SP - 9

EP - 14

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 104618333