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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Pseudomoments for generalized domains of attraction


Author: Mark M. Meerschaert
Journal: Proc. Amer. Math. Soc. 113 (1991), 1071-1075
MSC: Primary 60F05
DOI: https://doi.org/10.1090/S0002-9939-1991-1055775-2
MathSciNet review: 1055775
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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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DOI: https://doi.org/10.1090/S0002-9939-1991-1055775-2
Keywords: Moments, operator-stable, generalized domains of attraction, spectral decomposition theorem
Article copyright: © Copyright 1991 American Mathematical Society