Asymptotic normality of nonparametric estimators under \(\alpha\)-mixing condition
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Publication:1292778
DOI10.1016/S0167-7152(98)00264-8zbMath0949.62040MaRDI QIDQ1292778
Publication date: 20 November 2000
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
central limit theoremskernel density estimatorsregression estimatorsalpha-mixing conditionHermite series estimators
Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)
Related Items (6)
The Berry–Esseen-type bound for the G-M estimator in a nonparametric regression model with α-mixing errors ⋮ Modelling time trend via spline confidence band ⋮ Berry-Esseen bounds for density estimates under NA assumption ⋮ Simulated minimum Hellinger distance estimation of stochastic volatility models ⋮ Kernel density estimator for strong mixing processes ⋮ On kernel estimators of density for reversible Markov chains
Cites Work
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- Asymptotic normality of the kernel estimate under dependence conditions: Application to hazard rate
- Nonparametric regression estimation under mixing conditions
- Hermite series estimators for probability densities
- Asymptotic normality of some kernel-type estimators of probability density
- Nonparameteric estimation in mixing sequences of random variables
- Fixed design regression for time series: Asymptotic normality
- Nonparametric estimation of a regression function with dependent observations
- Mixing: Properties and examples
- Strong convergence of sums of \(\alpha \)-mixing random variables with applications to density estimation
- Kernel density estimation under dependence
- Nonparametric estimation in Markov processes
- Estimation of a multivariate density
- A CENTRAL LIMIT THEOREM AND A STRONG MIXING CONDITION
- NONPARAMETRIC ESTIMATORS FOR TIME SERIES
- Convergence of Hermite Series Density Estimators Under Conditions of Weak Dependence
- Choice of bandwidth for kernel regression when residuals are correlated
- Central limit theorems for sums of α-mixing random variables
- On Estimation of a Probability Density Function and Mode
- Nonparametric estimation of a regression function
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