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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, Volume 9, Issue 2, Pages 201–208
DOI: https://doi.org/10.21638/spbu01.2022.202 (Mi vspua2) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On some probability distributions, related to the classical Bernoulli scheme

S. M. Anan'evskij, V. B. Nevzorov

St Petersburg State University, 7-9, Universitetskaya nab., St Petersburg, 199034, Russian Federation
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DOI: https://doi.org/10.21638/spbu01.2022.202
Abstract: For more than three centuries, the classical scheme of independent Bernoulli trials, starting with the work of Jacob Bernoulli, has been one of the most popular topics in probability theory. It is ideal for setting and solving various practical problems. Many results have been obtained related to modifications of this scheme, but new situations and new problems appear that require further progress in the study of various random variables associated to one degree or another with independent Bernoulli trials. Solutions to some of these problems are presented in this paper.
Keywords: Bernoulli scheme, binomial distribution, geometric distribution, generating functions.
Received: 13.09.2021
Revised: 22.10.2021
Accepted: 02.12.2021
English version:
Vestnik St. Petersburg University, Mathematics, 2022, Volume 9, Issue 2, Pages 201–208
DOI: https://doi.org/10.1134/S1063454122020042
Document Type: Article
UDC: 519.2
MSC: 60E05, 62E10, 62G32
Language: Russian
Citation: S. M. Anan'evskij, V. B. Nevzorov, “On some probability distributions, related to the classical Bernoulli scheme”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:2 (2022), 201–208; Vestn. St. Petersbg. Univ., Math., 9:2 (2022), 201–208
Citation in format AMSBIB
\Bibitem{AnaNev22}
\by S.~M.~Anan'evskij, V.~B.~Nevzorov
\paper On some probability distributions, related to the classical Bernoulli scheme
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2022
\vol 9
\issue 2
\pages 201--208
\mathnet{http://mi.mathnet.ru/vspua2}
\crossref{https://doi.org/10.21638/spbu01.2022.202}
\transl
\jour Vestn. St. Petersbg. Univ., Math.
\yr 2022
\vol 9
\issue 2
\pages 201--208
\crossref{https://doi.org/10.1134/S1063454122020042}
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