On complete convergence and strong law for weighted sums of i.i.d. random variables
type: Item
instance of: scholarly article
title: On complete convergence and strong law for weighted sums of i.i.d. random variables
zbMATH Open document ID: 1469.60090
DOI: 10.1155/2014/251435
author: Xiaofang Ma
author: Soo Hak Sung
author: Pingyan Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We improve and generalize the result of \textit{W. F. Stout} [Almost sure convergence. New York, NY: Academic Press (1974; Zbl 0321.60022), 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 [loc. cit.]. We also improve and generalize [\textit{D. Li} et al., J. Theor. Probab. 8, No. 1, 49--76 (1995; Zbl 0814.60026)] strong law for weighted sums of i.i.d.\ random variables.
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 7022004
zbMATH Keywords: strong law for weighted sums of i.i.d.\ random variables
Wikidata QID: Q59036928
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/251435
OpenAlex ID: W1980792862
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description: scientific article; zbMATH DE number 7022004