Version 1
: Received: 25 August 2022 / Approved: 29 August 2022 / Online: 29 August 2022 (09:43:57 CEST)
How to cite:
Klebanov, L.; Šumbera, M. Random Normalization and Thinning for Discrete Random Variables. Preprints2022, 2022080481. https://doi.org/10.20944/preprints202208.0481.v1
Klebanov, L.; Šumbera, M. Random Normalization and Thinning for Discrete Random Variables. Preprints 2022, 2022080481. https://doi.org/10.20944/preprints202208.0481.v1
Klebanov, L.; Šumbera, M. Random Normalization and Thinning for Discrete Random Variables. Preprints2022, 2022080481. https://doi.org/10.20944/preprints202208.0481.v1
APA Style
Klebanov, L., & Šumbera, M. (2022). Random Normalization and Thinning for Discrete Random Variables. Preprints. https://doi.org/10.20944/preprints202208.0481.v1
Chicago/Turabian Style
Klebanov, L. and Michal Šumbera. 2022 "Random Normalization and Thinning for Discrete Random Variables" Preprints. https://doi.org/10.20944/preprints202208.0481.v1
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
Subject
Computer Science and Mathematics, Discrete Mathematics and Combinatorics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
