On tails and domains of attraction of stable measures in Banach spaces
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- by Aloisio Araujo and Evarist Giné PDF
- Trans. Amer. Math. Soc. 248 (1979), 105-119 Request permission
Abstract:
The exact tail behavior of stable measures in Banach spaces and measures in their domains of attraction is given. Conditions for a p.m. to be in the domain of attraction of a stable p.m. of order $\alpha$ are derived which are sufficient in type p spaces, $p > \alpha$, and necessary in general. This paper also contains a short proof of the Lévy-Khinchin formula in Banach spaces.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 248 (1979), 105-119
- MSC: Primary 60B12
- DOI: https://doi.org/10.1090/S0002-9947-1979-0521695-1
- MathSciNet review: 521695