On Complete Convergence and Strong Law for Weighted Sums of i.i.d. Random Variables

We improve and generalize the result of Stout (1974, Theorem 4.1.3). In particular, the sharp moment conditions are obtained and some well-known results can be obtained as special cases of the main result. The method of the proof is completely different from that in Stout. We also improve and genera...

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Bibliographic Details
Main Authors: Pingyan Chen, Xiaofang Ma, Soo Hak Sung
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/251435