Efficient algorithms for robust estimation in autoregressive regression models using Student’stdistribution

DOI10.1080/03610918.2018.1484481OpenAlexW2897870311MaRDI QIDQ5087940

Elezar C. Nwogu, Uchenna Chinedu Nduka, Iheanyi S. Iwueze

Publication date: 4 July 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2018.1484481

zbMATH Keywords

outliersautoregressionEM-type algorithmsStudent's \(t\) distributionknown and unknown degrees of freedom

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Time series analysis of dynamical systems (37M10)

Related Items (1)

Efficient and robust estimation for autoregressive regression models using shape mixtures of skew \(t\) normal distribution

Cites Work

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• On asymptotics of t-type regression estimation in multiple linear model
• \(M\)-estimation of linear models with dependent errors
• Asymptotic behavior of robust estimators of regression and scale parameters with fixed carriers
• Strong representations for LAD estimators in linear models
• Generalized \(M\)-estimators for errors-in-variables regression
• Bootstrapping robust estimates of regression
• Asymptotic normality of Huber-Dutter estimators in a linear model with AR(1) processes
• Explicit expressions for moments of \(t\) order statistics
• Least squares estimation of linear regression models for convex compact random sets
• On Koul's minimum distance estimators in the regression models with long memory moving averages.
• Estimating parameters of a multiple autoregressive model by the modified maximum likelihood method
• Generalized Least Squares with an Estimated Autocovariance Matrix
• A Maximum Likelihood Procedure for Regression with Autocorrelated Errors
• Estimating parameters in autoregressive models in non-normal situations: symmetric innovations
• The ECME algorithm: A simple extension of EM and ECM with faster monotone convergence
• Likelihood-Based Inference in Autoregressive Models with Scaledt-Distributed Innovations by Means of EM-Based Algorithms
• Application of Least Squares Regression to Relationships Containing Auto- Correlated Error Terms
• Robust Statistics
• Robust Statistics

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