Some strong limit theorems of weighted sums for negatively dependent generalized Gaussian random variables

DOI10.1016/j.spl.2007.01.015zbMath1120.60022OpenAlexW2005015514MaRDI QIDQ2643382

Yanyan Li

Publication date: 23 August 2007

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2007.01.015

zbMATH Keywords

strong law of large numbersweighted sumsnegatively dependent generalized Gaussian random variables

Mathematics Subject Classification ID

Strong limit theorems (60F15)

Related Items (15)

Numerical solution and distinguishability in time fractional parabolic equation ⋮ Convergence of series of strongly integrable random variables and applications ⋮ Some strong limit theorems for arrays of rowwise negatively orthant-dependent random variables ⋮ On the strong convergence rate for weighted sums of arrays of rowwise negatively orthant dependent random variables ⋮ A note on the strong limit theorem for weighted sums of sequences of negatively dependent random variables ⋮ Complete convergence for arrays of rowwise negatively orthant dependent random variables ⋮ Complete convergence for weighted sums of negatively dependent random variables ⋮ On the strong convergence properties for weighted sums of negatively orthant dependent random variables ⋮ Convergence of series of dependent \(\varphi \)-sub-Gaussian random variables ⋮ The strong consistency of the estimator of fixed-design regression model under negatively dependent sequences ⋮ Some exponential inequalities for negatively orthant dependent random variables ⋮ Complete consistency of the estimator of nonparametric regression model under ND sequence ⋮ Weak laws of large numbers for arrays of dependent random variables ⋮ A note on the rate of strong convergence for weighted sums of arrays of rowwise negatively orthant dependent random variables ⋮ Complete convergence and complete moment convergence for arrays of rowwise negatively dependent random variables under sub-linear expectations

Cites Work

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• Moment and probability bounds with quasi-superadditive structure for the maximum partial sum
• Some concepts of negative dependence
• The Strong Law of Large Numbers for Negatively Dependent Generalized Gaussian Random Variables
• Some Convergence Theorems for Independent Random Variables
• Sub-Gaussian random variables

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