Nonlinear regression models based on scale mixtures of skew-normal distributions

DOI10.1016/j.jkss.2010.08.003zbMath1296.62141OpenAlexW1992019254MaRDI QIDQ131150

Carlos A. Abanto-Valle, Víctor H. Lachos, Aldo Garay, Aldo M. Garay, Carlos A. Abanto-Valle, Victor Hugo Lachos

Publication date: March 2011

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2010.08.003

zbMATH Keywords

EM algorithmskew-normal distributionnonlinear regression modelsscale mixtures of skew-normal distributions

Mathematics Subject Classification ID

Robustness and adaptive procedures (parametric inference) (62F35) General nonlinear regression (62J02)

Related Items (14)

Likelihood-based inference for censored linear regression models with scale mixtures of skew-normal distributions ⋮ Inference and diagnostics for heteroscedastic nonlinear regression models under skew scale mixtures of normal distributions ⋮ Nonlinear regression models based on the normal mean-variance mixture of Birnbaum-Saunders distribution ⋮ Diagnostics on nonlinear model with scale mixtures of skew-normal and first-order autoregressive errors ⋮ Maximum a-posteriori estimation of autoregressive processes based on finite mixtures of scale-mixtures of skew-normal distributions ⋮ A robust class of homoscedastic nonlinear regression models ⋮ Heteroscedastic replicated measurement error models under asymmetric heavy-tailed distributions ⋮ The likelihood and Bayesian analyses for asymmetric Laplace nonlinear regression model ⋮ Robust nonparametric regression for heavy-tailed data ⋮ Nonlinear regression models under skew scale mixtures of normal distributions ⋮ Heteroscedastic nonlinear regression models based on scale mixtures of skew-normal distribu\-tions ⋮ Statistical diagnostics for nonlinear regression models based on scale mixtures of skew-normal distributions ⋮ nlsmsn ⋮ Symmetrical and asymmetrical mixture autoregressive processes

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• Assessment of diagnostic procedures in symmetrical nonlinear regression models
• Influence analyses of skew-normal/independent linear mixed models
• Homogeneity diagnostics for skew-normal nonlinear regression models
• Assessment of local influence in elliptical linear models with longitudinal structure
• On diagnostics in symmetrical nonlinear models
• Two graphical displays for outlying and influential observations in regression
• A general class of multivariate skew-elliptical distributions

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