The asymptotic behaviour of derivatives of the renewal function for distributions with infinite first moment and regularly varying tails of index β ∊(1/2, 1]

DOI10.1515/DMA-2012-021zbMath1270.60096OpenAlexW1985961547MaRDI QIDQ4917402

Valentin Alekseevich Topchiĭ

Publication date: 29 April 2013

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2012-021

zbMATH Keywords

renewal theorycharacteristic functionBlackwell's theoremrenewal densitydomains of attractioninfinite meanrenewal increment

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Limit theorems in probability theory (60F99) Renewal theory (60K05)

Related Items (3)

Two-dimensional renewal theorems with weak moment conditions and critical Bellman-Harris branching processes ⋮ On Renewal Matrices Connected with Branching Processes with Tails of Distributions of Different Orders ⋮ Critical Bellman-Harris branching processes with long-living particles

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