On the almost sure convergence of weighted sums of random elements in D[0,1]

Let {wn} be a sequence of positive constants and Wn=w1+…+wn where Wn→∞ and wn/Wn→∞. Let {Wn} be a sequence of independent random elements in D[0,1]. The almost sure convergence of Wn−1∑k=1nwkXk is established under certain integral conditions and growth conditions on the weights {wn}. The results ar...

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Hauptverfasser:	R. L. Taylor, C. A. Calhoun
Format:	Artigo
Sprache:	Inglês
Veröffentlicht:	Wiley 1981-01-01
Schriftenreihe:	International Journal of Mathematics and Mathematical Sciences
Schlagworte:	weighted sums random elements in D[{0,1}] strong laws of large numbers integral conditions and almost sure convergence.
Online-Zugang:	http://dx.doi.org/10.1155/S0161171281000574
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