Strong convergence properties for asymptotically almost negatively associated sequence

DOI10.1155/2012/562838zbMath1257.62066OpenAlexW3150668320WikidataQ58700643 ScholiaQ58700643MaRDI QIDQ1925513

Xueping Hu, Dongjin Zhu, Guohua Fang

Publication date: 18 December 2012

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

Full work available at URL: https://doi.org/10.1155/2012/562838

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Inequalities; stochastic orderings (60E15) Measures of association (correlation, canonical correlation, etc.) (62H20)

Related Items (6)

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 ⋮ 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 ⋮ Strong convergence properties and strong stability for weighted sums of AANA random variables ⋮ Unnamed Item

Cites Work

• Convergence properties for asymptotically almost negatively associated sequence
• Complete convergence for arrays of rowwise asymptotically almost negatively associated random variables
• Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications
• Some concepts of negative dependence
• 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
• STRONG LAWS FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES (II)

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