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In this paper we get some results about the asymptotic behaviour of the sequence
Πn = 1 + X1 + X1X2 + X1X2X3 + ...
where {Xn}n=1
∞ are i.i.d. random variables. Strong limit laws, Central limit theorem and Iterated Logarithm law are obtained,...
En este trabajo se presenta una generalización de un teorema de D. L. Hanson y R. P. Russo (1981) para variables aleatorias i.i.d. que toman valores en un espacio de Banach separable (B-variables), en el esquema más general de la ley de Marcinkiewicz y Zygmund.
Imponiendo condiciones sobre los momentos y el tipo Rademacher del espacio se obtienen resultados de la forma
máx(np/α≤j≤n) j-1/p ||Sn...
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