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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 495, Pages 305–316 (Mi znsl7057)

This article is cited 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



© Steklov Math. Inst. of RAS, 2024