Algebraic probability theory

Description:

This monograph addresses problems in probability theory in terms of the abstract theory of topological semigroups, employing algebraic tools from the theory of complex functions and abstract harmonic analysis. The basis of the approach is the decomposition theory (or arithmetic) of distributions (which is presented in an abstract setting) and extends to the theory of limits of triangular arrays. Prerequisites are basic concepts from algebra and topology.

subjects: Algebra,  Probabilities,  Abstract algebra,  Algebraic structures,  Probability theory,  Harmonic analysis,  Topology,  Complex functions,  Valoszinusegelmelet,  Algebre,  60-XX,  Probabilites,  Wahrscheinlichkeitsrechnung,  Topologische Halbgruppe,  Wahrscheinlichkeitstheorie