Inequalities of maximum of partial sums and weak convergence for a class of weak dependent random variables
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Publication:2508589
DOI10.1007/s10114-005-0601-xzbMath1102.60023OpenAlexW2007964349MaRDI QIDQ2508589
Publication date: 13 October 2006
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-005-0601-x
Related Items (44)
\(L_p\)-convergence, complete convergence, and weak laws of large numbers for asymptotically negatively associated random vectors with values in \(\mathbb{R}^d\) ⋮ Almost sure central limit theorem for self-normalized products of the some partial sums of \(\rho^-\)-mixing sequences ⋮ Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables ⋮ Complete moment convergence for the linear processes with random coefficients generated by a class of random variables ⋮ The central limit theorem for ANA sequences and its application to nonparametric regression models ⋮ Asymptotic normality of a wavelet estimator for asymptotically negatively associated errors ⋮ A Berry-Esseen theorem and a law of the iterated logarithm for asymptotically negatively associated sequences ⋮ Some strong convergence properties for arrays of rowwise ANA random variables ⋮ Strong convergence properties for partial sums of asymptotically negatively associated random vectors in Hilbert spaces ⋮ On convergence rate for weighted sums of arrays of rowwise ANA random variables ⋮ Almost sure convergence for self-normalized products of sums of partial sums of ρ¯-mixing sequences ⋮ Limit theorems for dependent random variables with infinite means ⋮ On Berry-Esseen bound of wavelet estimators in nonparametric regression model under asymptotically negatively associated assumptions ⋮ On strong convergence for weighted sums of a class of random variables ⋮ An almost sure central limit theorem of products of partial sums for \(\rho^-\)-mixing sequences ⋮ The Hájek-Rènyi inequality and strong law of large numbers for ANA random variables ⋮ Moment Inequalities for $m$-NOD Random Variables and Their Applications ⋮ The law of iterated logarithm for a class of random variables satisfying Rosenthal type inequality ⋮ Almost sure central limit theorem for self-normalized partial sums of \(\rho^{-}\)-mixing sequences ⋮ Data-driven estimation of change-points with mean shift ⋮ On complete and complete moment convergence for weighted sums of ANA random variables and applications ⋮ Some limiting behavior of the maximum of the partial sum for asymptotically negatively associated random vectors in Hilbert space ⋮ Strong approximation for sums of asymptotically negatively dependent Gaussian sequences with applications ⋮ Weak convergence for weighted sums of a class of random variables with related statistical applications ⋮ Limit theorems for weighted sums of asymptotically negatively associated random variables under some general conditions ⋮ The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors ⋮ On convergence properties for weighted sums of coordinatewise ANA random vectors in Hilbert spaces ⋮ Rosenthal type inequalities for random variables ⋮ Limit behaviors for ANA random variables under R-h-integrability and SR-h-integrability ⋮ On the uniform consistency of frequency polygons for ρ^--mixing samples ⋮ Further research on complete moment convergence for moving average process of a class of random variables ⋮ Convergence of Moving Average Processes for Dependent 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 ⋮ Complete convergence and complete moment convergence for arrays of rowwise ANA random variables ⋮ General results of complete convergence and complete moment convergence for weighted sums of some class of random variables ⋮ On complete convergence in Marcinkiewicz-Zygmund type SLLN for random variables ⋮ Complete moment convergence for m-ANA random variables and statistical applications ⋮ Strong convergence properties for weighted sums of \(m\)-asymptotic negatively associated random variables and statistical applications ⋮ Convergence properties of the maximum partial sums for moving average process under \(\rho^-\)-mixing assumption ⋮ Rosenthal type inequalities for asymptotically almost negatively associated random variables and applications ⋮ The Berry-Esseen bounds of the weighted estimator in a nonparametric regression model ⋮ Complete moment convergence for weighted sums of m-asymptotic negatively associated random variables ⋮ Complete moment convergence for moving average process generated by \(\rho^{-}\)-mixing random variables
Cites Work
- 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
- The Hájek-Rényi inequality for the NA random variables and its application
- 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
- Central limit theorems for asymptotically negatively associated random fields
- A functional central limit theorem for asymptotically negatively dependent random fields
- A weak convergence for negatively associated fields
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