Nonparametric estimation of mean and dispersion functions in extended generalized linear models

DOI10.1007/s11749-010-0187-1zbMath1203.62066OpenAlexW2056813901MaRDI QIDQ619139

Irène Gijbels, Ilaria Prosdocimi, Gerda Claeskens

Publication date: 22 January 2011

Published in: Test (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11749-010-0187-1

zbMATH Keywords

overdispersionnonparametric regressionvariance estimationP-splinesunderdispersionextended quasi-likelihooddouble exponential family

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric estimation (62G05) Generalized linear models (logistic models) (62J12)

Related Items

Robust Estimation of Mean and Dispersion Functions in Extended Generalized Additive Models, Flexible Mean and Dispersion Function Estimation in Extended Generalized Additive Models, Joint estimation and variable selection for mean and dispersion in proper dispersion models, Estimating abundance from counts in large data sets of irregularly spaced plots using spatial basis functions, Smooth estimation of mean and dispersion function in extended generalized additive models with application to Italian induced abortion data, Global sensitivity analysis of stochastic computer models with joint metamodels, Variable selection in high-dimensional double generalized linear models, A Robust Variable Selection tot-type Joint Generalized Linear Models via Penalizedt-type Pseudo-likelihood, Improving variance function estimation in semiparametric longitudinal data analysis, The Use of Working Variables in the Bayesian Modeling of Mean and Dispersion Parameters in Generalized Nonlinear Models with Random Effects

Uses Software

• SemiPar
• GAMLSS

Cites Work

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• Hierarchical generalised linear models: A synthesis of generalised linear models, random-effect models and structured dispersions
• Overdispersion: Models and estimation.
• Direct generalized additive modeling with penalized likelihood.
• Overdispersed generalized linear models
• Flexible smoothing with \(B\)-splines and penalties. With comments and a rejoinder by the authors
• Effect of mean on variance function estimation in nonparametric regression
• Semiparametric estimation of mean and variance functions for non-Gaussian data
• Some Asymptotic Results on Generalized Penalized Spline Smoothing
• A note on overdispersed exponential families
• Asymptotically optimal difference-based estimation of variance in nonparametric regression
• Asymptotic properties of penalized spline estimators
• Regularisation and P-splines in generalised linear models
• On the asymptotics of penalized splines
• Double Exponential Families and Their Use in Generalized Linear Regression
• An extended quasi-likelihood function
• Variance Function Estimation
• Efficient estimation of conditional variance functions in stochastic regression
• Local Polynomial Variance-Function Estimation
• Local Polynomial Estimation in Multiparameter Likelihood Models
• Semiparametric Regression
• Generalized Additive Models for Location, Scale and Shape
• A practical guide to splines.