Equality in Distribution of Random Sums for Introducing Selfdecomposability

Constantinos T. Artikis, Panagiotis T. Artikis


It constitutes a general recognition that discrete Poisson random sums are very strong tools of probability theory with significant applications in a very wide variety of important practical disciplines. The paper makes use of an equality in distribution for the investigation of the structure of a particularly significant class of discrete Poisson random sums.


Random sum; Equality in distribution; Probability generating function

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DOI: http://dx.doi.org/10.26713%2Fcma.v11i4.1118


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