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A Key Renewal Theorem for Heavy Tail Distributions with ${\beta\in(0,0.5]}$

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Publication:2877890
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DOI10.1137/S0040585X97986564zbMath1316.60134MaRDI QIDQ2877890

Valentin Alekseevich Topchiĭ, Vladimir A. Vatutin

Publication date: 27 August 2014

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)


zbMATH Keywords

stable lawregularly varying functionsnonlattice distributionincrements of renewal function


Mathematics Subject Classification ID

Renewal theory (60K05)


Related Items (5)

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 ⋮ Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders ⋮ On a multivariate strong renewal theorem ⋮ Limit theorems for branching processes with immigration in a random environment







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