Infinite divisibility of infinite sums of lower records: a simple proof

DOI10.1239/JAP/1101840563zbMath1062.60009OpenAlexW1986184600MaRDI QIDQ4660542

Aleksander M. Iksanov

Publication date: 4 April 2005

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1101840563

zbMATH Keywords

infinite divisibilitylower recordshot noise distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10)

Related Items (2)

A note on concomitants of records ⋮ Convergence of tail sum for records

Cites Work

• Unnamed Item
• Stochastic ordering and dependence in applied probability
• Asymptotic properties of sums of upper records
• On a stochastic difference equation and a representation of non–negative infinitely divisible random variables
• Shot Noise Distributions and Selfdecomposability
• Convergence of lower records and infinite divisibility

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