Some limit theorems via Levy distance

• Autores: Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 76, Fasc. 3-4, 2010, págs. 303-315
• Idioma: inglés
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• Resumen

  • 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.