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Resumen de A new approach to series of independent random variables

Ricardo Vélez Ibarrola Árbol académico

  • The aim of this paper is to give a different approach to the classical theory of sums of independent random variables. It shows that the Kolmogorov inequalities may be avoided in the proof of the three series theorem and the equivalence lemma follows from a very simple argument. The main idea is to relate the a.s.\ convergence of a series with the fact that their paths remain bounded


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