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Artículo
Convergence in mean of weighted sums of {an,k}-compactly uniformly integrable random elements in Banach spaces
(Hindawi, 1997)
The convergence in mean of a weighted sum ka.k(Xk EXk) of random elements in a separable Banach space is studied under a new hypothesis which relates the random elements with their respective weights in the sum: the {a.. ...
Artículo
Degenerate weak convergence of row sums for arrays of random elements in stable type p Banach spaces
(Institute of Mathematics, Academica Sinica, 1999-09)
For an array of rowwise independent random elements {Vnj , j ≥ 1, n ≥ 1} in a real separable, stable type p Banach space X and an array of constants {anj , j ≥ 1, n ≥ 1}, general weak laws of large numbers of the forms (i) ...