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Series representation for operator semistable laws and domains of normal attraction

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Publication:1288944
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DOI10.1007/BF02432344zbMath0935.60007OpenAlexW2033225567MaRDI QIDQ1288944

Hans-Peter Scheffler

Publication date: 25 April 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02432344


zbMATH Keywords

order statisticsoperator semistable lawsLepage series representation


Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05)




Cites Work

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  • Elliptical symmetry and characterization of operator-stable and operator semi-stable measures
  • The symmetry group and exponents of operator stable probability measures
  • Operator stable laws: Series representations and domains of normal attraction
  • Convergence to a stable distribution via order statistics
  • Series representation for semistable laws and their domains of semistable attraction
  • Semi-stable probability measures on $R^{N}$
  • A Representation of Independent Increment Processes without Gaussian Components
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