Moderate deviations for M-estimators in linear models with \(\phi\)-mixing errors
From MaRDI portal
Publication:1757996
DOI10.1007/s10114-011-9188-6zbMath1257.62076OpenAlexW2148637583MaRDI QIDQ1757996
Publication date: 7 November 2012
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-011-9188-6
Asymptotic properties of parametric estimators (62F12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Linear regression; mixed models (62J05) Large deviations (60F10)
Related Items (10)
Bahadur representations of M-estimators and their applications in general linear models ⋮ Weak consistency of M-estimator in linear regression model with asymptotically almost negatively associated errors ⋮ Maximum likelihood estimators in linear regression models with Ornstein-Uhlenbeck process ⋮ Asymptotics of M‐estimator in multivariate linear regression models for a class of random errors ⋮ Asymptotic properties of M estimators in classical linear models with φ -mixing random errors ⋮ Asymptotic properties for M-estimators in linear models with dependent random errors ⋮ An exponential inequality and its application to \(M\) estimators in multiple linear models ⋮ Asymptotic property of \(M\) estimator in classical linear models under dependent random errors ⋮ On the Strong Consistency of M-Estimates in Linear Models for Negatively Superadditive Dependent Errors ⋮ Pseudo-maximum likelihood estimators in linear regression models with fractional time series
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Large deviations for \(M\)-estimators
- \(M\)-estimation of linear models with dependent errors
- On moderate deviation theory in estimation
- Large deviations of estimators
- Moderate and Cramér-type large deviation theorems for M-estimators
- Strong representations for LAD estimators in linear models
- Large sample point estimation: A large deviation theory approach
- M-estimators in linear models with long range dependent errors
- A maximal inequality and dependent strong laws
- Behavior of robust estimators in the regression model with dependent errors
- Estimates of location: a large deviation comparison
- On deviations between empirical and quantile processes for mixing random variables
- Large deviation and other results for minimum contrast estimators
- A general Bahadur representation of \(M\)-estimators and its application to linear regression with nonstochastic designs
- Weak convergence of convex stochastic processes
- Moderate deviations of minimum contrast estimators under contamination
- Moderate deviations for the maximum likelihood estimator
- Robust estimation in the linear model
- Moderate deviations for \(M\)-estimators
- Moderate deviations for martingales and mixing random processes
- Moderate deviations for martingales with bounded jumps
- M-estimation for linear models with spatially-correlated errors
- Moderate deviations for martingale differences and applications to φ -mixing sequences
- Rates of Convergence of Estimates and Test Statistics
- A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
- Robust Statistics
- Strong consistency of M-estimates in linear models
This page was built for publication: Moderate deviations for M-estimators in linear models with \(\phi\)-mixing errors