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There are established basic inequalities for moments of generalized convolutions of probability measures. Moreover, some necessary and sufficient conditions for the existence of moments of the char...
The paper deals with stochastically compact sequences of scalar modifications of powers of probability measures taken in the sense of a generalized convolution. Our aim is to give a characterization...
For any positive number q a q-equivalence of generalized convolutions is defined in terms of moments of order q. The aim of this paper is to prove that under some natural restrictions on the order ...
The paper deals with some uniqueness and characterization theorems for probability measures and generalized convolutions in terms of negative moments.

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