An empirical evaluation of small area estimators.

Álex Costa; Albert Satorra; Eva Ventura

SORT (2003)

  • Volume: 27, Issue: 1, page 113-136
  • ISSN: 1696-2281

Abstract

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This paper compares five small area estimators. We use Monte Carlo simulation in the context of both artificial and real populations. In addition to the direct and indirect estimators, we consider the optimal composite estimator with population weights, and two composite estimators with estimated weights: one that assumes homogeneity of within area variance and squared bias and one that uses area-specific estimates of variance and squared bias. In the study with real population, we found that among the feasible estimators, the best choice is the one that uses area-specific estimates of variance and squared bias.

How to cite

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Costa, Álex, Satorra, Albert, and Ventura, Eva. "An empirical evaluation of small area estimators.." SORT 27.1 (2003): 113-136. <http://eudml.org/doc/40438>.

@article{Costa2003,
abstract = {This paper compares five small area estimators. We use Monte Carlo simulation in the context of both artificial and real populations. In addition to the direct and indirect estimators, we consider the optimal composite estimator with population weights, and two composite estimators with estimated weights: one that assumes homogeneity of within area variance and squared bias and one that uses area-specific estimates of variance and squared bias. In the study with real population, we found that among the feasible estimators, the best choice is the one that uses area-specific estimates of variance and squared bias.},
author = {Costa, Álex, Satorra, Albert, Ventura, Eva},
journal = {SORT},
keywords = {Estimación bayesiana; Estimación en áreas pequeñas; Simulación de Montecarlo; regional statistics; small areas; root mean square error; direct estimators; indirect estimators; composite estimators},
language = {eng},
number = {1},
pages = {113-136},
title = {An empirical evaluation of small area estimators.},
url = {http://eudml.org/doc/40438},
volume = {27},
year = {2003},
}

TY - JOUR
AU - Costa, Álex
AU - Satorra, Albert
AU - Ventura, Eva
TI - An empirical evaluation of small area estimators.
JO - SORT
PY - 2003
VL - 27
IS - 1
SP - 113
EP - 136
AB - This paper compares five small area estimators. We use Monte Carlo simulation in the context of both artificial and real populations. In addition to the direct and indirect estimators, we consider the optimal composite estimator with population weights, and two composite estimators with estimated weights: one that assumes homogeneity of within area variance and squared bias and one that uses area-specific estimates of variance and squared bias. In the study with real population, we found that among the feasible estimators, the best choice is the one that uses area-specific estimates of variance and squared bias.
LA - eng
KW - Estimación bayesiana; Estimación en áreas pequeñas; Simulación de Montecarlo; regional statistics; small areas; root mean square error; direct estimators; indirect estimators; composite estimators
UR - http://eudml.org/doc/40438
ER -

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