Complete convergence for arrays
type: Item
instance of: scholarly article
title: Complete convergence for arrays
zbMATH Open document ID: 0760.60029
DOI: 10.1007/BF02454383
published in: Periodica Mathematica Hungarica
publication date: 1993-02-08T00:00:00Z
review text: Let \(\{(X_{nk}\), \(1\leq k\leq n)\), \(n\geq 1\}\) be an array of rowwise independent random variables. We extend and generalize some recent results due to \textit{T.-C. Hu}, \textit{F. Móricz} and \textit{R. L. Taylor} [Acta Math. Hung. 54, No. 1/2, 153-162 (1989; Zbl 0685.60032)] concerning complete convergence, in the sense of \textit{P. L. Hsu} and \textit{H. Robbins} [Proc. Natl. Acad. Sci. USA 33, 25-31 (1947; Zbl 0030.20101)], of the sequence of rowwise arithmetic means.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 118338
zbMATH Keywords: strong law
zbMATH Keywords: central limit theorem
zbMATH Keywords: weighted sums
zbMATH Keywords: array of rowwise independent random variables
zbMATH Keywords: complete convergence
author: Allan Gut
reviewed by: Allan Gut
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 118338