Perturbation selection and influence measures in local influence analysis

DOI10.1214/009053607000000343zbMath1129.62068arXiv0803.2986OpenAlexW3102068365MaRDI QIDQ2473075

Heping Zhang, Joseph G. Ibrahim, Sik-Yum Lee, Hong-Tu Zhu

Publication date: 26 February 2008

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2986

zbMATH Keywords

linear regressionlinear mixed modelsappropriate perturbationperturbation manifold

Mathematics Subject Classification ID

Global differential geometry (53C99) Diagnostics, and linear inference and regression (62J20) Local differential geometry (53B99)

Related Items

On a logistic regression model with random intercept: diagnostic analytics, simulation and biological application, Bayesian diagnostics of transformation structural equation models, Sensitivity analysis of longitudinal count responses: a local influence approach and application to medical data, Sensitivity analysis for Bayesian hierarchical models, Influence analysis for the generalized Waring regression model, Inference and diagnostics for heteroscedastic nonlinear regression models under skew scale mixtures of normal distributions, Local influence analysis for GMM estimation, Influence diagnostics in generalized symmetric linear models, Sparse local influence analysis, Local influence diagnostics for the test of mean-variance efficiency and systematic risks in the capital asset pricing model, Influence diagnostics for Student-tcensored linear regression models, A METHOD OF LOCAL INFLUENCE ANALYSIS IN SUFFICIENT DIMENSION REDUCTION, Bayesian local influence of semiparametric structural equation models, Case deletion diagnostics for GMM estimation, Local influence of nonlinear mixed effects model based on M-estimation, Local Influence Analysis in AB-BA Crossover Designs, New regression model with four regression structures and computational aspects, Elliptical linear mixed models with a covariate subject to measurement error, On diagnostics in multivariate measurement error models under asymmetric heavy-tailed distributions, Zero inflated Waring distribution, Inference in multivariate regression models with measurement errors, Graphical Tools for Detecting Departures from Linear Mixed Model Assumptions and Some Remedial Measures, Residual and local influence analyses for unit gamma regressions, Addressing non-normality in multivariate analysis using the \(t\)-distribution, Bayesian sensitivity analysis of a nonlinear dynamic factor analysis model with nonparametric prior and possible nonignorable missingness, Estimation and diagnostics for heteroscedastic nonlinear regression models based on scale mixtures of skew-normal distributions, A Bayesian computer model analysis of robust Bayesian analyses, High-dimensional influence measure, Perturbation and scaled Cook's distance, A note on influence diagnostics in AR(1) time series models, Stepwise local influence in generalized autoregressive conditional heteroskedasticity models, Stepwise local influence analysis, The log-generalized modified Weibull regression model, Local influence in seemingly unrelated regression model with ridge estimate, Bayesian Influence Measures for Joint Models for Longitudinal and Survival Data, Local Influence Under Parameter Constraints, Influence analysis with homogeneous linear restrictions, The new Neyman type A beta Weibull model with long-term survivors, Bayesian local influence for spatial autoregressive models with heteroscedasticity, Influence diagnostics in mixed effects logistic regression models, Unnamed Item, Spatial variability in slash linear modeling with finite second moment, Local influence for functional comparative calibration models with replicated data, Bayesian local influence for survival models, Rejoinder: Bayesian local influence for survival models, A Log-Linear Regression Model for the Beta-Weibull Distribution, Multiple Influential Point Detection in High Dimensional Regression Spaces, Perturbation selection and local influence analysis for nonlinear structural equation model, Bayesian local influence of generalized failure time models with latent variables and multivariate censored data, Local Influence for Generalized Linear Models with Missing Covariates, Influence diagnostics in elliptical spatial linear models

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Defining the curvature of a statistical problem (with applications to second order efficiency)
• Potential functions and conservative estimating functions
• Preferred point \(\alpha\)-manifold and Amari's \(\alpha\)-connections
• Influence analysis for linear measurement error models
• Invariants and likelihood ratio statistics
• Growth curve models and statistical diagnostics
• Local influence analysis of nonlinear structural equation models
• Differential-geometrical methods in statistics
• Local Influence for Incomplete Data Models
• Sensitivity Analysis for Nonrandom Dropout: A Local Influence Approach
• Local Influence to Detect Influential Data Structures for Generalized Linear Mixed Models
• A diagnostic procedure based on local influence
• Diagnostics for Mixed-Model Analysis of Variance
• Generalized Leverage and its Applications
• Conformal Normal Curvature and Assessment of Local Influence
• Local influence for generalized linear mixed models
• Influence Diagnostics and Outlier Tests for Semiparametric Mixed Models
• Analysis of Infant Growth Curves Using Multivariate Adaptive Splines
• Goodness of Fit via Non-parametric Likelihood Ratios
• Leverage, local influence and curvature in nonlinear regression
• Local Influence Analysis for Penalized Gaussian Likelihood Estimators in Partially Linear Models
• Missing-Data Methods for Generalized Linear Models
• Linear mixed models for longitudinal data