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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 495, Pages 305–316
(Mi znsl7057)
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This article is cited in 2 scientific papers (total in 2 papers)
Quasi-infinite divisibility and three-pointprobability laws
A. A. Khartova, I. A. Alexeevb a Smolensk State University
b Euler International Mathematical Institute, St. Petersburg
Abstract:
Discrete three-point probability laws are considered. We obtain necessary and sufficient conditions to belong to the new class of quasi-infinitely divisible laws. The results are formulated in terms of the points and their probabilities, and also with the property of separability from zero of the characteristic functions.
Key words and phrases:
quasi-infinitely divisible probability laws, Lévy–Khintchine formula, discrete three-point laws, characteristic functions.
Received: 23.11.2020
Citation:
A. A. Khartov, I. A. Alexeev, “Quasi-infinite divisibility and three-pointprobability laws”, Probability and statistics. Part 29, Zap. Nauchn. Sem. POMI, 495, POMI, St. Petersburg, 2020, 305–316
Linking options:
https://www.mathnet.ru/eng/znsl7057 https://www.mathnet.ru/eng/znsl/v495/p305
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Abstract page: | 213 | Full-text PDF : | 106 | References: | 12 |
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