On Stone's renewal theorem for arithmetic distributions Full article
| Journal |
Discrete Mathematics and Applications
ISSN: 0924-9265 , E-ISSN: 1569-3929 |
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| Output data | Year: 2018, Volume: 28, Number: 6, Pages: 397-404 Pages count : 8 DOI: 10.1515/dma-2018-0035 | ||
| Tags | arithmetic distribution; renewal theorem; semimultiplicative sequence; Stone's theorem | ||
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Abstract:
The well-known Stone's renewal theorem is refined for the case of arithmetic distributions having at least one exponentially decreasing tail. A very general version of the renewal theorem for arithmetic distributions with a semi-multiplicative bound of the residual term is proved. © 2018 Walter de Gruyter GmbH, Berlin/Boston.
Cite:
Sgibnev M.S.
On Stone's renewal theorem for arithmetic distributions
Discrete Mathematics and Applications. 2018. V.28. N6. P.397-404. DOI: 10.1515/dma-2018-0035 WOS Scopus OpenAlex
On Stone's renewal theorem for arithmetic distributions
Discrete Mathematics and Applications. 2018. V.28. N6. P.397-404. DOI: 10.1515/dma-2018-0035 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000452905000005 |
| Scopus: | 2-s2.0-85058806116 |
| OpenAlex: | W2905324897 |