Functions of regular variation and freely stable laws
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Publication:2568717
DOI10.1007/BF02505898zbMath1072.46044MaRDI QIDQ2568717
Vittorino Pata, Hari Bercovici
Publication date: 19 October 2005
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Infinitely divisible distributions; stable distributions (60E07) Characteristic functions; other transforms (60E10) Free probability and free operator algebras (46L54)
Related Items (3)
Free subexponentiality ⋮ Strict limit types for monotone convolution ⋮ Boolean convolutions and regular variation
Cites Work
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- On the distribution of the roots of certain symmetric matrices
- Addition of certain non-commuting random variables
- Limit laws for random matrices and free products
- Addition of freely independent random variables
- Lévy-Hinčin type theorems for multiplicative and additive free convolution
- Stable laws and domains of attraction in free probability theory
- Domains of partial attraction in noncommutative probability
- Classical versus free domains of attraction
- The law of large numbers for free identically distributed random variables
- The central limit theorem for free additive convolution
- A non-commutative extension of abstract integration
- Free Random Variables
- Levy Type Characterization of Stable Laws for Free Random Variables
- A free analogue of Hincin’s characterization of infinite divisibility
- Regularly varying functions
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