A class of discrete distributions induced by stable laws

DOI10.1016/j.spl.2009.03.030zbMath1169.60303OpenAlexW2001472011MaRDI QIDQ923863

Elsie Sterbin Gottlieb

Publication date: 24 July 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.03.030

zbMATH Keywords

stable lawsblackhole data

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)

Related Items (4)

Some analytical results on bivariate stable distributions with an application in operational risk ⋮ A note on the Cauchy-type mixture distributions ⋮ A class of continuous kernels and Cauchy type heavy tail distributions ⋮ A characterization for truncated Cauchy random variables with nonzero skewness parameter

Cites Work

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• Discrete analogues of self-decomposability and stability
• A triptych of discrete distributions related to the stable law
• Computer simulation of geometric stable distributions
• Scaled Sibuya distribution and discrete self-decomposability
• Discrete semi-stable distributions
• Data analysis for heavy tailed multivariate samples
• Chance and Stability

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