Further study of complete convergence for weighted sums of PNQD random variables

DOI10.1186/s13660-015-0814-1zbMath1332.62083OpenAlexW1936169594WikidataQ59434225 ScholiaQ59434225MaRDI QIDQ262505

Qunying Wu

Publication date: 29 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0814-1

zbMATH Keywords

complete convergencepairwise negative quadrant dependent random variablesufficient and necessary condition

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12)

Related Items (6)

Complete convergence and complete moment convergence for negatively associated sequences of random variables ⋮ Complete convergence theorem for negatively dependent random variables under sub-linear expectations ⋮ On the convergence for PNQD sequences with general moment conditions ⋮ Complete convergence for weighted sums of pairwise independent random variables ⋮ Complete convergence and the strong laws of large numbers for pairwise NQD random variables ⋮ Complete convergence and complete moment convergence for negatively dependent random variables under sub-linear expectations

Cites Work

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• The strong law of large numbers for pairwise NQD random variables
• An application of Stein's method to limit theorems for pairwise negative quadrant dependent random variables
• Strong convergence of pairwise NQD random sequences
• Convergence rates for probabilities of moderate deviations for moving average processes
• A note on the almost sure convergence of sums of negatively dependent random variables
• Sufficient and necessary conditions of complete convergence for weighted sums of PNQD random variables
• Complete convergence for Sung's type weighted sums of END random variables
• On the relationship between the Baum-Katz-Spitzer complete convergence theorem and the law of the iterated logarithm
• Convergence Rates in the Law of Large Numbers
• Some Concepts of Dependence

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