Browsing by Subject "60B12"

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An application of the Ryll-Nardzewski-Woyczyński theorem to a uniform weak law for tail series of weighted sums of random elements in Banach spaces

Hu T.; Nam E.; Rosalsky A.; Volodin A. (2000)

For a sequence of Banach space valued random elements {Vn,n≥1} (which are not necessarily independent) with the series ∑n=1 ∞Vn converging unconditionally in probability and an infinite array a={ani,i≥n,n≥1} of constants, ...
On the weak law for randomly indexed partial sums for arrays of random elements in martingale type p Banach spaces

Hong D.; Cabrera M.; Sung S.; Volodin A. (2000)

For weighted randomly indexed sums of the form ∑j=1 Nnanj(Vnj-cnj) where {anj,j≥1,n≥1} are constants, {Vnj,j≥1,n≥1} are random elements in a real separable martingale type p Banach space, {Nn,n≥1} are positive integer-valued ...

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