Strong and weak convergence for asymptotically almost negatively associated random variables
type: Item
instance of: scholarly article
title: Strong and weak convergence for asymptotically almost negatively associated random variables
zbMATH Open document ID: 1269.60036
DOI: 10.1155/2013/235012
author: Aiting Shen
author: Ranchao Wu
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: The strong law of large numbers for sequences of asymptotically almost negatively associated (AANA) random variables is obtained, which generalizes and improves the corresponding one by \textit{Z. D. Bai} and \textit{P. E. Cheng} [Stat. Probab. Lett. 46, No. 2, 105--112 (2000; Zbl 0960.60026)] for independent and identically distributed random variables. In addition, the Feller-type weak law of large numbers for sequences of AANA random variables is obtained, which generalizes the corresponding one by \textit{W. Feller} [Am. J. Math. 68, 257--262 (1946; Zbl 0060.28704)] for independent and identically distributed random variables.
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 6175056
zbMATH Keywords: asymptotically almost negatively associated random variables
zbMATH Keywords: strong law of large numbers
zbMATH Keywords: Feller-type weak law of large numbers
Wikidata QID: Q58921447
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/235012
OpenAlex ID: W2084712988
cites work: A strong law for weighted sums of i.i.d. random variables
cites work: Marcinkiewicz strong laws for linear statistics
cites work: Marcinkiewicz strong laws for linear statistics of rho*-mixing sequences of random variables
cites work: A strong limit theorem for weighted sums of sequences of negatively dependent random variables
cites work: On the strong convergence for weighted sums of random variables
cites work: On the strong laws for weighted sums of \(\rho^*\)-mixing random variables
cites work: On complete convergence for arrays of rowwise weakly dependent random variables
cites work: Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
cites work: The strong law of large numbers for weighted averages under dependence assumptions
cites work: Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
cites work: Convergence properties for asymptotically almost negatively associated sequence
cites work: Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables
cites work: Strong convergence properties for asymptotically almost negatively associated sequence
cites work: A Limit Theoerm for Random Variables with Infinite Moments
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description: scientific article; zbMATH DE number 6175056