Functional convergence and optimality of plug-in estimators for stationary densities of moving average processes
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Publication:1769788
DOI10.3150/bj/1099579161zbMath1058.62072OpenAlexW1968564032MaRDI QIDQ1769788
Anton Schick, Wolfgang Wefelmeyer
Publication date: 30 March 2005
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3150/bj/1099579161
functional central limit theoremtime seriessemiparametric modelefficient estimatorplug-in estimatorleast dispersed estimator
Density estimation (62G07) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Functional limit theorems; invariance principles (60F17) (L^p)-limit theorems (60F25)
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Density estimation for nonlinear parametric models with conditional heteroscedasticity ⋮ Root n consistent and optimal density estimators for moving average processes ⋮ Efficient prediction for linear and nonlinear autoregressive models ⋮ Root-\(n\) consistency in weighted \(L _{1}\)-spaces for density estimators of invertible linear processes ⋮ Estimating the density of a possibly missing response variable in nonlinear regression ⋮ Efficient density estimation in an AR(1) model ⋮ Uniform convergence of convolution estimators for the response density in nonparametric regression ⋮ Rootnconsistent density estimators for sums of independent random variables ⋮ Some developments in semiparametric statistics ⋮ Uniformly root-\(n\) consistent density estimators for weakly dependent invertible linear proc\-esses ⋮ Improved Density Estimators for Invertible Linear Processes ⋮ Optimal plug-in estimators for multivariate distributions with conditionally independent components ⋮ Plug-in estimators for higher-order transition densities in autoregression ⋮ Non Standard Behavior of Density Estimators for Functions of Independent Observations
Cites Work
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- Asymptotic equivalence of estimators of average derivatives
- Density estimation for linear processes
- Nonparametric density and regression estimation for Markov sequences without mixing assumptions
- Data-driven bandwidth choice for density estimation based on dependent data
- Efficient nonparametric testing by functional estimation
- On smoothed probability density estimation for stationary processes
- Estimation of integrated squared density derivatives
- Optimal plug-in estimators for nonparametric functional estimation
- A note on the usefulness of superkernels in density estimation
- Asymptotic normality for density kernel estimators in discrete and continuous time
- Kernel density estimation for linear processes: Asymptotic normality and optimal bandwidth derivation
- On average derivative quantile regression
- Adaptive estimation in time-series models
- Estimating the integral of a squared regression function with Latin hypercube sampling
- Some problems of nonparametric estimation by observations of ergodic diffusion process
- Estimation of integral functionals of a density and its derivatives
- Efficient estimation in nonlinear autoregressive time-series models
- Accurate rates of density estimators for continuous-time processes
- On unbiased density estimation for ergodic diffusion
- Statistical inference for ergodic diffusion processes.
- Estimating the density of the residuals in autoregressive models
- Rate of convergence of a convolution-type estimator of the marginal density of a MA(1) process
- Asymptotically efficient estimation of the derivative of the invariant density
- On adaptive estimation in stationary ARMA processes
- Estimating the innovation distribution in nonlinear autoregressive models
- A study of nonparametric regression of error distribution in linear model based on \(L_ 1\)-norm
- Estimation of integral functionals of a density
- Nonparametric estimation of global functionals and a measure of the explanatory power of covariates in regression
- Asymptotics of some estimators and sequential residual empiricals in nonlinear time series
- Efficient density estimation for ergodic diffusion processes
- On the estimation of the marginal density of a moving average process
- Non-parametric Estimation of the Residual Distribution
- Exploring Regression Structure Using Nonparametric Functional Estimation
- On variance estimation in nonparametric regression
- Entropy-Based Tests of Uniformity
- NONPARAMETRIC TESTS FOR SERIAL DEPENDENCE
- Estimating Densities of Functions of Observations
- Adaptive Estimation of the Integral of Squared Regression Derivatives
- Rootnconsistent density estimators for sums of independent random variables
- Best asymptotic normality of the kernel density entropy estimator for smooth densities
- Root n consistent and optimal density estimators for moving average processes
- Estimating functionals of the error distribution in parametric and nonparametric regression
- Kernel density estimation for linear processes
- Nonparametric density estimation for a long-range dependent linear process
