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.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 495, 2020, pp. 305–316.
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Khartov, A.A., Alexeev, I.A. Quasi-Infinite Divisibility and Three-Point Probability Laws. J Math Sci 268, 731–738 (2022). https://doi.org/10.1007/s10958-022-06242-8
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DOI: https://doi.org/10.1007/s10958-022-06242-8