A Complete Convergence Theorem for Row Sums from Arrays of Rowwise Independent Random Elements in Rademacher Type p Banach Spaces |
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| Authors: | Tien-Chung Hu Andrei Volodin |
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| Institution: | 1. Department of Mathematics , Tsing Hua University , Hsinchu , Taiwan , China;2. Department of Mathematics and Statistics , University of Regina , Regina , Saskatchewan , Canada |
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| Abstract: | We extend in several directions a complete convergence theorem for row sums from an array of rowwise independent random variables obtained by Sung, Volodin, and Hu 8
Sung , S.H. ,
Volodin , A.I. , and
Hu , T.-C. ( 2005 ). More on complete convergence for arrays. Statist. Probab. Lett. 71:303–311. Google Scholar]] to an array of rowwise independent random elements taking values in a real separable Rademacher type p Banach space. An example is presented which illustrates that our result extends the Sung, Volodin, and Hu result even for the random variable case. |
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| Keywords: | Array of Banach space valued random elements Complete convergence Rate of convergence Real separable Rademacher type p Banach space Row sums Rowwise independent |
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