Asymptotics for Kendall's renewal function

An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Gołdyn et al. (2020) in a setting of Kendall convolutions are proved under weaker hypothesis and extended to the Gamma class. Convergence rates of the limits concerned in these theorems are analyzed.

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Veröffentlicht in:arXiv.org 2021-01
Hauptverfasser: [M Cadena, Jasiulis-Gołdyn, B H, Omey, E
Format: Artikel
Sprache:eng
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Zusammenfassung:An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Gołdyn et al. (2020) in a setting of Kendall convolutions are proved under weaker hypothesis and extended to the Gamma class. Convergence rates of the limits concerned in these theorems are analyzed.
ISSN:2331-8422