Complete moment convergence for weighted sums of m-asymptotic negatively associated random variables
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Publication:5028940
DOI10.7153/jmi-2021-15-106zbMath1486.60056OpenAlexW3217127578MaRDI QIDQ5028940
Xin Deng, Yi Wu, Fenbing Zhou, Xue-jun Wang
Publication date: 11 February 2022
Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/jmi-2021-15-106
strong law of large numberscomplete moment convergence\(m\)-ANA random variablesANA (asymptotic negatively associated)
Cites Work
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- On complete convergence for arrays of rowwise \(m\)-negatively associated random variables
- On the strong convergence for weighted sums of random variables
- On the strong laws for weighted sums of \(\rho^*\)-mixing random variables
- A Berry-Esseen theorem and a law of the iterated logarithm for asymptotically negatively associated sequences
- Some strong limit theorems for \(\tilde \rho\)-mixing sequences of random variables
- Limiting behavior of the maximum of the partial sum for asymptotically negatively associated random variables under residual Cesáro alpha-integrability assumption
- Moments of the maximum of normed partial sums of \(\rho^-\)-mixing random variables
- On the spectral density and asymptotic normality of weakly dependent random fields
- A note on the almost sure convergence of sums of negatively dependent random variables
- Almost-sure results for a class of dependent random variables
- A comparison theorem on moment inequalities between negatively associated and independent random variables
- Moment inequalities for the partial sums of random variables
- The law of iterated logarithm for negatively associated random variables
- Asymptotic normality of a wavelet estimator for asymptotically negatively associated errors
- Negative association of random variables, with applications
- Maximal inequalities and an invariance principle for a class of weakly dependent random variables
- Convergence rates in the strong laws of asymptotically negatively associated random fields
- Strong convergence properties for weighted sums of \(m\)-asymptotic negatively associated random variables and statistical applications
- On the strong convergence for weighted sums of \(\rho ^{*}\)-mixing random variables
- The Hájek-Rènyi inequality and strong law of large numbers for ANA random variables
- Complete moment convergence for weighted sums of weakly dependent random variables and its application in nonparametric regression model
- Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
- Strong Limit Theorems for Weighted Sums of Negatively Associated Random Variables
- Complete Convergence and the Law of Large Numbers
- Central limit theorems for asymptotically negatively associated random fields
- A functional central limit theorem for asymptotically negatively dependent random fields
