Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables

DOI10.1155/2011/717126zbMath1235.60026OpenAlexW2070594820WikidataQ58655535 ScholiaQ58655535MaRDI QIDQ764561

Wenzhi Yang, Shuhe Hu, Xue-jun Wang

Publication date: 13 March 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/717126

zbMATH Keywords

complete convergenceMarcinkiewicz-Zygmund type strong law of large numbersasymptotically almost negatively associated random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (12)

Further study on complete convergence for weighted sums of arrays of rowwise asymptotically almost negatively associated random variables ⋮ Complete convergence and complete moment convergence for arrays of rowwise asymptotically almost negatively associated random variables ⋮ On strong convergence for weighted sums of a class of random variables ⋮ Strong convergence properties for asymptotically almost negatively associated sequence ⋮ L_r convergence for arrays of rowwise asymptotically almost negatively associated random variables ⋮ On complete convergence of moving average process for AANA sequence ⋮ Strong and weak convergence for asymptotically almost negatively associated random variables ⋮ Complete convergence of the maximum partial sums for arrays of rowwise of AANA random variables ⋮ Complete moment convergence of weighted sums for processes under asymptotically almost negatively associated assumptions ⋮ Strong convergence properties and strong stability for weighted sums of AANA random variables ⋮ Unnamed Item ⋮ On complete convergence for arrays of rowwise AANA random variables

Cites Work

• The Hájek-Rényi inequality for the AANA random variables and its applications
• Convergence properties for asymptotically almost negatively associated sequence
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• A note on the almost sure convergence of sums of negatively dependent random variables
• Negative association of random variables, with applications
• The strong law of large numbers and the law of the iterated logarithm for product sums of NA and AANA random variables
• Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables
• The strong law of large numbers for weighted averages under dependence assumptions
• Complete Convergence and the Law of Large Numbers

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