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https://elib.bsu.by/handle/123456789/339962| Title: | Rational-infinite divisibility of mixture probability laws with dominated continuous singular parts |
| Authors: | Khartov, A. A. |
| Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
| Issue Date: | 2025 |
| Publisher: | Minsk : BSU |
| Citation: | Computer Data Analysis and Modeling: Stochastics and Data Science : Proc. of the XIV Intern. Conf., Minsk, Sept. 24–27, 2025 / Belarusian State Univ. ; eds.: Yu. Kharin (ed.-in-chief) [et al.]. – Minsk : BSU, 2025. – Pp. 123-126. |
| Abstract: | We consider a new class Q of distribution functions F that have the property of rational-infinite divisibility: there exist some infinitely divisible distribution functions F 1 and F 2 such that F 1 = F ∗ F 2. Characteristic functions of such probability laws admit the L´evy-type representation with “signed spectral measures”. We propose criteria for a distribution function F to belong to the class Q for the unexplored case, where F may have a continuous singular part |
| URI: | https://elib.bsu.by/handle/123456789/339962 |
| ISBN: | 978-985-881-830-2 |
| Licence: | info:eu-repo/semantics/restrictedAccess |
| Appears in Collections: | 2025. Computer Data Analysis and Modeling: Stochastics and Data Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 123-126.pdf | 354,71 kB | Adobe PDF | View/Open |
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