On tails and domains of attraction of stable measures in Banach spaces

Araujo, Aloisio; Giné, Evarist

doi:10.1090/S0002-9947-1979-0521695-1

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.

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