Submitted:
25 August 2022
Posted:
29 August 2022
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Abstract
Different variants of thinning for discrete random variables are studied. The thinning procedure allows to introduce an analog of scale parameter for positive integer-valued random variables. Sufficient and necessary conditions for the existence of such a scale are given.
Keywords:
Random normalization
; thinning operators
; Bernstein Theorem
; problem of moments
; Sibuya distribution
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