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On asymptotic properties of multidimensional α ‐stable densities
Author(s) -
Zaigraev A.
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310459
Subject(s) - mathematics , lebesgue measure , absolute continuity , measure (data warehouse) , poisson distribution , class (philosophy) , lebesgue integration , distribution (mathematics) , mathematical analysis , pure mathematics , statistics , database , artificial intelligence , computer science
A class of multidimensional α ‐stable distributions is considered. The Poisson spectral measure of each distribution is assumed to be absolutely continuous with respect to the surface Lebesgue measure. The author concentrates his attention on the asymptotic behavior of the α ‐stable densities s ( x ) as | x | →∞and | x | → 0. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)