Abstract
R. Pyke raised the question of the convergence of series indexed by filtering sets. This paper contains a generalization of an inequality of Marcinkiewicz-Zygmund for a certain class of filtering sets, which gives rise to the theory of series for this type of set.
Citation
Jean-Pierre Gabriel. "An Inequality for Sums of Independent Random Variables Indexed by Finite Dimensional Filtering Sets and Its Applications to the Convergence of Series." Ann. Probab. 5 (5) 779 - 786, October, 1977. https://doi.org/10.1214/aop/1176995719
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