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

A. Bozorgnia and M. Bhaskara Rao

Journal of Multivariate Analysis, 1979, vol. 9, issue 3, 428-433

Abstract: 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.

Keywords: Random; elements; in; Banach; spaces; independence; identical; distribution; pairwise; independence; convergence; in; probability; convergence; almost; surely (search for similar items in EconPapers)
Date: 1979
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