Explicit formulas in renewal theory Full article
| Journal |
European Journal of Mathematics and Applications
ISSN: 2752-7603 |
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| Output data | Year: 2024, Volume: 4, Pages: 1-9 Pages count : 9 DOI: 10.28919/ejma.2024.4.20 | ||
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
Let Xi be a sequence of independent identically distributed random variables with EX1 > 0. Let Sk be the sequence of their partial sums and U() = k=0P(Sk ) be the corresponding renewal measure. We study the problem of representing in explicit form the restrictions of U to the positive and negative half-axes. A similar problem for generalized renewal measures of special type is also considered.
Cite:
Sgibnev M.S.
Explicit formulas in renewal theory
European Journal of Mathematics and Applications. 2024. V.4. P.1-9. DOI: 10.28919/ejma.2024.4.20 РИНЦ OpenAlex
Explicit formulas in renewal theory
European Journal of Mathematics and Applications. 2024. V.4. P.1-9. DOI: 10.28919/ejma.2024.4.20 РИНЦ OpenAlex
Dates:
| Submitted: | Jul 27, 2024 |
| Published print: | Sep 24, 2024 |
| Published online: | Sep 24, 2024 |
Identifiers:
| Elibrary: | 74118644 |
| OpenAlex: | W4402760601 |
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