On Complete Convergence for Nonstationary ϕ-Mixing Random Variables
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Publication:5177588
DOI10.1080/03610926.2012.725501zbMath1319.60059OpenAlexW1981905350MaRDI QIDQ5177588
Xinghui Wang, Aiting Shen, Jimin Ling
Publication date: 13 March 2015
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2012.725501
Related Items (14)
The asymptotic normality of the linear weighted estimator in nonparametric regression models ⋮ 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 ⋮ Asymptotic properties of M estimators in classical linear models with φ -mixing random errors ⋮ A note on complete convergence of weighted sums for array of rowwise AANA random variables ⋮ 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 ⋮ 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
Cites Work
- On complete convergence for weighted sums of \(\varphi \)-mixing random variables
- An invariance principle for \(\phi\)-mixing sequences
- Convergence rates and r-quick versions of the strong law for stationary mixing sequences
- Some Baum-Katz type results for \({\varphi}\)-mixing random variables with different distributions
- Convergence rates of the strong law for stationary mixing sequences
- Complete Convergence and the Law of Large Numbers
- On a Theorem of Hsu and Robbins
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