On estimation and local influence analysis for measurement errors models under heavy-tailed distributions

DOI10.1007/s00362-009-0270-4zbMath1434.62152OpenAlexW1970909333MaRDI QIDQ641778

T. Angolini, Victor Hugo Lachos, Carlos A. Abanto-Valle

Publication date: 25 October 2011

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00362-009-0270-4

zbMATH Keywords

EM algorithmMahalanobis distancescale mixtures of normal distributionsmeasurement error models

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35)

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Cites Work

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• The influence function in the errors in variables problem
• Influence analyses of nonlinear mixed-effects models
• Assessment of local influence in elliptical linear models with longitudinal structure
• On structural comparative calibration under a \(t\)-model
• Local influence analysis of nonlinear structural equation models
• Local influence analysis of multivariate probit latent variable models
• Skew normal measurement error models
• Maximum likelihood estimation via the ECM algorithm: A general framework
• Robust Estimation of the Mean and Covariance Matrix from Data with Missing Values
• On scale mixtures of normal distributions
• Conformal Normal Curvature and Assessment of Local Influence
• CORRECTED SCORE FUNCTIONS IN CLASSICAL ERROR‐IN‐VARIABLES AND INCIDENTAL PARAMETER MODELS