Multivariable Regular Variation of Functions and Measures

DOI10.1515/JAA.1999.125zbMath0955.26008MaRDI QIDQ4254579

Mark M. Meerschaert, Hans-Peter Scheffler

Publication date: 9 February 2001

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

zbMATH Keywords

weak convergenceregular variationLie groupsmultivariate stable distribution

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (3)

Invariance principles for generalized domains of semistable attraction ⋮ Lamperti-Type Theorems for Random Fields ⋮ Limit laws for symmetric \(k\)-tensors of regularly varying measures

Cites Work

• Spectral decomposition for generalized domains of semistable attraction
• Domains of attraction and regular variation in \({\mathbb{R}}^ d\)
• Spectral decomposition for generalized domains of attraction
• The symmetry group and exponents of operator stable probability measures
• Operator-stable laws: Multiple exponents and elliptical symmetry
• Norming operators for generalized domains of attraction
• Convergence of types in k-space

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