GENERALIZATION OF THE PARTIAL SUMMATION PROCESS

Ján Mačutek

   Two types of transformations of discrete random variables are presented. The first of them is a generalization of the partial summation mentioned in [1], [6] and [7]. Relations between probability generating functions and moments of the parent and descendant distributions are analyzed. It is shown that the Salvia-Bollinger distribution is invariant in regard to the considered transformations.

Keywords: discrete probability distributions, partial-sums distributions, the Salvia-Bollinger distribution

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