On the Rate of Complete Convergence for Weighted Sums of Arrays of Rowwise ϕ-Mixing Random Variables
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Publication:2921826
DOI10.1080/03610926.2012.683130zbMath1308.60033OpenAlexW2054315808MaRDI QIDQ2921826
Xinghui Wang, Xiaoqin Li, Aiting Shen, Xue-jun Wang
Publication date: 14 October 2014
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2012.683130
complete convergence\(\varphi\)-mixing sequencearrays of row-wise \(\varphi\)-mixing random variables
Related Items (14)
The consistency and convergence rate for the nearest neighbor density estimator based on φ-mixing random samples ⋮ A note on the asymptotic properties of the estimators in a semiparametric regression model ⋮ Consistency and asymptotic normality of wavelet estimator in a nonparametric regression model ⋮ Asymptotics for the linear kernel quantile estimator ⋮ Weighted sums of strongly mixing random variables with an application to nonparametric regression ⋮ Exponential inequalities for sums of unbounded ϕ-mixing sequence and their applications ⋮ Complete moment convergence for arrays of rowwise \(\mathbf{\varphi}\)-mixing random variables ⋮ Equivalent conditions of complete moment and integral convergence for a class of dependent random variables ⋮ Complete convergence for weighted sums of pairwise independent random variables ⋮ On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions ⋮ The Berry-Esseen type bounds of the weighted estimator in a nonparametric model with linear process errors ⋮ The asymptotic properties of the estimators in a semiparametric regression model ⋮ Statistical inference for a heteroscedastic regression model with φ-mixing errors ⋮ Complete moment convergence for moving average process generated by \(\rho^{-}\)-mixing random variables
Cites Work
- On Ibragimov-Iosifescu conjecture for \(\phi\)-mixing sequences
- Convergence of weighted sums for arrays of negatively dependent random variables and its applications
- Large deviations for some dependent sequences
- On the complete convergence of weighted sums for arrays of negatively associated variables
- An invariance principle for \(\phi\)-mixing sequences
- A uniform central limit theorem for nonuniform \(\phi\)-mixing random fields
- Almost sure invariance principles for mixing sequences of random variables
- Weak convergence of multidimensional empirical processes for stationary \(\varphi\)-mixing processes
- On the Central Limit Theorem for $\varphi$-Mixing Arrays of Random Variables
- The invariance principle for ϕ-mixing sequences
- A Note on Weak Convergence of Empirical Processes for Sequences of $\phi$- Mixing Random Variables
- Complete Convergence and the Law of Large Numbers
- On a Theorem of Hsu and Robbins
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