Second order asymptotic behaviour of subordinated sequences with longtailed subordinator

DOI10.1016/j.jmaa.2006.09.057zbMath1119.60072OpenAlexW1995919438MaRDI QIDQ881989

Jonas Šiaulys, Aleksandras Baltrūnas

Publication date: 23 May 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.09.057

zbMATH Keywords

Cramer's conditionLongtailed sequenceSecond order asymptoticsSubordinate sequence

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Renewal theory (60K05)

Related Items (2)

Closure of some heavy-tailed distribution classes under random convolution ⋮ Local probabilities of randomly stopped sums of power-law lattice random variables

Cites Work

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• A renewal theorem of Blackwell type
• On subordinated distributions and generalized renewal measures
• Functions of discrete probability measures: Rates of convergence in the renewal theorem
• Second-Order Asymptotic Behavior of Subexponential Infinitely Divisible Distributions

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