Strong laws of large numbers for arrays of row-wise exchangeable random elements

Let {Xnk,1≤k≤n,n≤1} be a triangular array of row-wise exchangeable random elements in a separable Banach space. The almost sure convergence of n−1/p∑k=1nXnk,1≤p<2, is obtained under varying moment and distribution conditions on the random elements. In particular, strong laws of large numbers foll...

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Bibliographic Details
Main Authors: Robert Lee Taylor, Ronald Frank Patterson
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000126
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