M-quantile models for small area estimation

DOI10.1093/biomet/93.2.255zbMath1153.62004OpenAlexW2170320860MaRDI QIDQ5503393

Ray Chambers, Nikos Tzavidis

Publication date: 15 January 2009

Published in: Biometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/biomet/93.2.255

zbMATH Keywords

influence functionquantile regressionweighted least squaresmultilevel modelrobust inferencemedian estimation

Mathematics Subject Classification ID

Related Items (47)

Small area prediction of quantiles for zero-inflated data and an informative sample design ⋮ Small area mean estimation after effect clustering ⋮ Small area prediction for a unit-level lognormal model ⋮ Marginal M-quantile regression for multivariate dependent data ⋮ Asymptotic Properties and Variance Estimators of the M-quantile Regression Coefficients Estimators ⋮ A case-deletion diagnostic for penalized calibration estimators and BLUP under linear mixed models in survey sampling ⋮ Robust small area estimation in generalized linear mixed models ⋮ On the \(L_p\)-quantiles for the Student \(t\) distribution ⋮ Outlier robust small domain estimation via bias correction and robust bootstrapping ⋮ 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 under spatial nonstationarity ⋮ Non-parametric bootstrap mean squared error estimation for \(M\)-quantile estimators of small area averages, quantiles and poverty indicators ⋮ Estimation of poverty and inequality in small areas: review and discussion ⋮ Small area estimators based on restricted mixed models ⋮ Small area estimation based on M-quantile models in presence of outliers in auxiliary variables ⋮ Robust Small Area Estimation under Spatial Non‐stationarity ⋮ Estimation and Testing in M‐quantile Regression with Applications to Small Area Estimation ⋮ A Comparison of Methods for Poverty Estimation in Developing Countries ⋮ Modelling Group Heterogeneity for Small Area Estimation Using M‐Quantiles ⋮ Statistical Analysis with Linked Data ⋮ Robust Hierarchical Bayes Small Area Estimation for the Nested Error Linear Regression Model ⋮ Small Area Quantile Estimation ⋮ Estimating heterogeneous causal effects in observational studies using small area predictors ⋮ Small area estimation via M-quantile geographically weighted regression ⋮ Fast and robust estimators of variance components in the nested error model ⋮ District-level poverty estimation: a proposed method ⋮ Robust estimation approach for spatial error model ⋮ A domain outlier robust design and smooth estimation approach ⋮ Resistance to Outliers of M-Quantile and Robust Random Effects Small Area Models ⋮ Local polynomial inference for small area statistics: estimation, validation and prediction ⋮ What Level of Statistical Model Should We Use in Small Area Estimation? ⋮ Prediction of small area quantiles for the conservation effects assessment project using a mixed effects quantile regression model ⋮ ROBUST ESTIMATION OF SMALL-AREA MEANS AND QUANTILES ⋮ Spatial robust small area estimation ⋮ Small area semiparametric additive monotone models ⋮ Outlier detection and robust estimation in linear regression models with fixed group effects ⋮ Small area estimation of the mean using non-parametric M-quantile regression: a comparison when a linear mixed model does not hold ⋮ Robust Bayesian small area estimation based on quantile regression ⋮ M-quantile models with application to poverty mapping ⋮ Outlier Robust Small-Area Estimation Under Spatial Correlation ⋮ Robust small area estimation ⋮ Quantile regression feature selection and estimation with grouped variables using Huber approximation ⋮ Non‐parametric generalized linear mixed models in small area estimation ⋮ Nonparametric Model-Based Estimators for the Cumulative Distribution Function of a Right Censored Variable in a Small Area ⋮ M-Quantile Small Area Estimation for Panel Data ⋮ Outlier robust model-assisted small area estimation ⋮ New important developments in small area estimation

This page was built for publication: M-quantile models for small area estimation