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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the existence and convergence of pseudomoments for variables in the domain of normal attraction of an operator stable distribution
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by Daniel Charles Weiner PDF
Proc. Amer. Math. Soc. 101 (1987), 521-528 Request permission

Abstract:

Integrals are constructed to replace absolute moments for variables in the domain of normal attraction of an operator stable law. These integrals, called pseudomoments, improve on the geometric information contained in absolute moments. Existence and convergence to appropriate values of these integrals are shown for the variables and their affine normalized sums.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 101 (1987), 521-528
  • MSC: Primary 60B11; Secondary 60F05
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0908661-9
  • MathSciNet review: 908661