Estimation of the mean squared error of predictors of small area linear parameters under a logistic mixed model

DOI10.1016/j.csda.2006.01.012zbMath1161.62349OpenAlexW2056179770MaRDI QIDQ1019898

Isabel Molina, Laureano Santamaría, Wenceslao González Manteiga, Domingo Morales, María José Lombardía

Publication date: 29 May 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.01.012

zbMATH Keywords

bootstrapmean squared errorresampling methodssmall area estimationsuperpopulation modellogit mixed regression model

Mathematics Subject Classification ID

Related Items (28)

Small area estimation of poverty proportions under unit-level temporal binomial-logit mixed models ⋮ \(\ell_2\)-penalized approximate likelihood inference in logit mixed models for regional prevalence estimation under covariate rank-deficiency ⋮ Prevalence and trend estimation from observational data with highly variable post-stratification weights ⋮ Small area estimation under area-level generalized linear mixed models ⋮ Adjusting economic estimates in business surveys ⋮ Poisson mixed models for studying the poverty in small areas ⋮ Small area estimation under a spatially non-linear model ⋮ Multinomial-based small area estimation of labour force indicators ⋮ On properties of empirical best predictors ⋮ Outlier robust small domain estimation via bias correction and robust bootstrapping ⋮ Special issue on small area estimation ⋮ Modelling over and undercounts for design-based Monte Carlo studies in small area estimation: an application to the German register-assisted census ⋮ Small area estimation of average compositions under multivariate nested error regression models ⋮ Small area estimation under unit-level temporal linear mixed models ⋮ Empirical best prediction under area-level Poisson mixed models ⋮ Hierarchical Bayes multivariate estimation of poverty rates based on increasing thresholds for small domains ⋮ Bootstrap mean squared error of a small-area EBLUP ⋮ Small area estimation of proportions under a spatial dependent aggregated level random effects model ⋮ Bootstrap for estimating the MSE of the spatial EBLUP ⋮ Estimation of small area counts with the benchmarking property ⋮ Small area estimation of proportions under area-level compositional mixed models ⋮ Small area estimation for semicontinuous data ⋮ MODEL-BASED DIRECT ESTIMATION OF SMALL-AREA DISTRIBUTIONS ⋮ On longitudinal moving average model for prediction of subpopulation total ⋮ Small area estimation under Fay–Herriot models with non-parametric estimation of heteroscedasticity ⋮ Analytic and bootstrap approximations of prediction errors under a multivariate Fay-Herriot model ⋮ Semiparametric empirical best prediction for small area estimation of unemployment indicators ⋮ An area-level gamma mixed model for small area estimation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bootstrap procedures under some non-i.i.d. models
• Bootstrap methods: another look at the jackknife
• Logistic regression with random coefficients
• Small area estimation: an appraisal. With comments and a rejoinder by the authors
• Jackknife, bootstrap and other resampling methods in regression analysis
• Empirical best prediction for small-area inference based on generalized linear mixed models
• On measures of uncertainty of empirical Bayes small-area estimators
• Mean squared error of empirical predictor.
• Bootstrap and wild bootstrap for high dimensional linear models
• Approximations for Standard Errors of Estimators of Fixed and Random Effect in Mixed Linear Models
• Empirical Bayes Confidence Intervals Based on Bootstrap Samples
• Generalized Linear Models for Small-Area Estimation
• Unbiasedness of two-stage estimation and prediction procedures for mixed linear models
• Estimation in generalized linear models with random effects
• Best Linear Unbiased Estimation and Prediction under a Selection Model
• Maximizing Generalized Linear Mixed Model Likelihoods With an Automated Monte Carlo EM Algorithm
• Maximum Likelihood Variance Components Estimation for Binary Data
• Bootstrap Methods for Finite Populations
• Bootstrap adjustments for empirical bayes interval estimates of small-area proportions
• Maximum Likelihood Algorithms for Generalized Linear Mixed Models
• Small Area Inference for Binary Variables in the National Health Interview Survey
• Approximate Inference in Generalized Linear Mixed Models
• Generalized linear mixed models a pseudo-likelihood approach
• The Estimation of the Mean Squared Error of Small-Area Estimators
• Empirical best prediction for small area inference with binary data

This page was built for publication: Estimation of the mean squared error of predictors of small area linear parameters under a logistic mixed model