Abstract
A type of geometric random sum of discrete, independent and identically distributed random variables taking values in the set of nonnegative integers is a useful analytical tool of computational intelligence for describing and analyzing the evolution of a complex human-computer interaction system under a major risk. The present paper concentrates on the determination of a particular case of such a geometric random sum and the application of the determined discrete geometric random sum in realizing the most probable and best scenario for the evolution of a complex human-computer interaction system under a major risk.
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