Pseudomoments for generalized domains of attraction

Meerschaert, Mark M.

doi:10.1090/S0002-9939-1991-1055775-2

Pseudomoments for generalized domains of attraction
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Proc. Amer. Math. Soc. 113 (1991), 1071-1075 Request permission

Abstract:

In this paper we resolve a conjecture of Weiner (1987) concerning the existence of the so-called pseudomoments for a random vector which belongs to the generalized domain of attraction of an operator-stable law. The proof is a direct consequence of the spectral decomposition theorem for generalized domains of attraction in Meerschaert (1991).

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