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Marcinkiewicz strong laws of large numbers and convergence rates for arrays of independent random elements in banach spaces

 

作者: Kuo-Liang Su,   Robert L. Taylor,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1992）
卷期: Volume 10, issue 2  

页码: 223-237

 

ISSN:0736-2994

 

年代: 1992

 

DOI:10.1080/07362999208809265

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Consider a set of independent Banach space-valued random elements indexed bythe positive integer d-dimensional lattice points, d ≥ 2. The classical Kolmogorov-Marcinkiewicz strong law of large numbers is obtained in this setting. In addition, a rate of convergence for the tall probabilities of the sample sums is determined

 

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