ANTI-IRREDUCIBLE PROBABILITY MEASURES
Abstract: The paper is devoted to the study of anti-irreducible probability measures
associated with generalized convolutions. In particular, for convolutions other than the
max-convolution it is proved that the set of anti-irreducible measures is a proper
subset of the set of all infinitely divisible measures. Moreover, for a special class of
convolutions containing a modification of the max-convolution it is proved that the
probability measure concentrated at the origin is the only anti-irreducible measure.
2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;
Key words and phrases: -