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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
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
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
Linking options:
https://www.mathnet.ru/eng/vspua2 https://www.mathnet.ru/eng/vspua/v9/i2/p201
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