An Inequality for Sums of Independent Random Variables Indexed by Finite Dimensional Filtering Sets and Its Applications to the Convergence of Series
Gabriel, Jean-Pierre
Ann. Probab., Tome 5 (1977) no. 6, p. 779-786 / Harvested from Project Euclid
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.
Publié le : 1977-10-14
Classification:  Filtering sets,  isomorphism,  independent random variables,  characteristic functions,  almost everywhere convergence,  60G50,  60G45
@article{1176995719,
     author = {Gabriel, Jean-Pierre},
     title = {An Inequality for Sums of Independent Random Variables Indexed by Finite Dimensional Filtering Sets and Its Applications to the Convergence of Series},
     journal = {Ann. Probab.},
     volume = {5},
     number = {6},
     year = {1977},
     pages = { 779-786},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176995719}
}
Gabriel, Jean-Pierre. An Inequality for Sums of Independent Random Variables Indexed by Finite Dimensional Filtering Sets and Its Applications to the Convergence of Series. Ann. Probab., Tome 5 (1977) no. 6, pp.  779-786. http://gdmltest.u-ga.fr/item/1176995719/