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INICIO | 27 de julio de 2024
  

A comparative study of small area estimators.

Título inglés A comparative study of small area estimators.
Título español Un estudio comparativo de estimadores en áreas pequeñas.
Autor/es Santamaría, Laureano ; Morales, Domingo ; Molina, Isabel
Organización Cent. Inv. Oper. Univ. Miguel Hernández, Elche (Alicante), España;Dep. Estad. Univ. Carlos III, Getafe (Madrid), España
Revista 1696-2281
Publicación 2004, 28 (2): 215-230, 9 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés It is known that direct-survey estimators of small area parameters, calculated with the data from the given small area, often present large mean squared errors because of small sample sizes in the small areas. Model-based estimators borrow strength from other related areas to avoid this problem. How small should domain sample sizes be to recommend the use of model-based estimators? How robust are small area estimators with respect to the rate sample size/number of domains?
To give answers or recommendations about the questions above, a Monte Carlo simulation experiment is carried out. In this simulation study, model-based estimators for small areas are compared with some standard design-based estimators. The simulation study starts with the construction of an artificial population data file, imitating a census file of a Statistical Office. A stratified random design is used to draw samples from the artificial population. Small area estimators of the mean of a continuous variable are calculated for all small areas and compared by using different performance measures. The evolution of these performance measures is studied when increasing the number of small areas, which means to decrease their sizes.
Clasificación UNESCO 120910
Palabras clave español Teoría de muestras ; Estimación en áreas pequeñas ; Inferencia paramétrica ; Estimador puntual ; Simulación de Montecarlo
Código MathReviews MR2116193
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Equipo DML-E
Instituto de Ciencias Matemáticas (ICMAT - CSIC)
rmm()icmat.es