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A strong form of stable convergence. (English) Zbl 1129.60030

Donati-Martin, Catherine (ed.) et al., Séminaire de Probabilités XL. Berlin: Springer (ISBN 978-3-540-71188-9/pbk). Lecture Notes in Mathematics 1899, 203-225 (2007).
This paper developes and studies the notion of stable convergence. The authors investigate different characterizations of this type of convergence.
Finally they give examples which will show how the previous theory can be applied in order to obtain results of stable convergence in the strong sense.
For the entire collection see [Zbl 1116.60002].

MSC:

60F15 Strong limit theorems
60F05 Central limit and other weak theorems
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