On the domain of partial attraction of semi-stable distributions

DOI10.1007/BF02506340zbMath0236.60020MaRDI QIDQ2552348

Ryoichi Shimizu

Publication date: 1970

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Probability distributions: general theory (60E05)

Related Items (12)

ON LÉVY STABLE AND SEMISTABLE DISTRIBUTIONS ⋮ Series representation for semistable laws and their domains of semistable attraction ⋮ Moments of measures attracted to operator semi-stable laws ⋮ Recurrence and transience of operator semi-stable processes ⋮ Multiparameter Shimizu equation ⋮ Criteria for recurrence and transience of semistable processes ⋮ On a functional equation generalizing the class of semistable distributions ⋮ Fourier analysis of semistable distributions ⋮ A characterization of gamma mixtures of stable laws motivated by limit theorems ⋮ Conditionally free semi-stable distributions ⋮ On the upper bound of the number of real zeros of a random algebraic polynomial ⋮ A simple robust estimation method for the thickness of heavy tails

Cites Work

• Corrections to 'Characteristic functions satisfying a functional equation. II'
• Certain class of infinitely divisble characteristic functions
• Characteristic functions satisfying a functional equation. I
• Characteristic functions satisfying a functional equation. II
• On a Class of Unimodal Distributions
• Sur l'ensemble de puissances d'une loi de probabilité
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