Limit theorems for weighted sums of random elements in separable Banach spaces

Let ank, n >= 1, k >= 1, be a double array of real numbers and let Vn, n >= 1, be a sequence of random elements taking values in a separable Banach space. In this paper, we examine under what conditions the sequence [Sigma]k>=1ankVk, n >= 1, has a limit either in probability or almost surely.

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Year of publication:	1979
Authors:	Bozorgnia, A. ; Rao, M. Bhaskara
Published in:	Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 9.1979, 3, p. 428-433
Publisher:	Elsevier
Keywords:	Random elements in Banach spaces independence identical distribution pairwise independence convergence in probability convergence almost surely

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005021327