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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 8, Fasc. ,
pages 89 - 101
 

DOMAINS OF ATTRACTION AND MOMENTS

K. Urbanik

Abstract: The limit behaviour of scalar modifications of powers of probability measures under a generalized convolution is considered. In particular, some necessary and sufficient conditions in terms of moments and medians for a probability measure to belong to the domain of attraction of a compact set consisting of non-degenerate at the origin measures are established.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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