On Regularities of Mass Phenomena.

This paper presents a result that provides a positive answer to the question of existence of regularities of the so called random in a broad sense mass phenomena (Kolmogorov, ). The theorem of existence of statistical regularities of mass phenomena in the form of closed in weak-* topology families of finitely-additive probability distributions, and their significance to decision theory, constitute the content of this paper. [ABSTRACT FROM AUTHOR]