Resumen de Some limit theorems via Levy distance

Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach

• In this note, we present a uni¯ed approach for the proofs of two results of probability theory, namely the (so-called) global version of the central limit theorem and the complete convergence theorem. Key tool is an appropriate upper bound for the deviation of two distribution functions in terms of the Levy distance.