Quasi-Infinite Divisibility and Three-Point Probability Laws

Discrete three-point probability laws are considered. Necessary and sufficient conditions for belonging to a new class of quasi-infinitely divisible laws are obtained. The results are formulated in terms of the points and their probabilities, as well as in terms of the property of separability from...

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Veröffentlicht in:	Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-12, Vol.268 (5), p.731-738
Hauptverfasser:	Khartov, A. A., Alexeev, I. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Characteristic functions Distribution (Probability theory) Laws, regulations and rules Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Discrete three-point probability laws are considered. Necessary and sufficient conditions for belonging to a new class of quasi-infinitely divisible laws are obtained. The results are formulated in terms of the points and their probabilities, as well as in terms of the property of separability from zero of characteristic functions.
ISSN:	1072-3374 1573-8795
DOI:	10.1007/s10958-022-06242-8