Estimation of finite population parameters with auxiliary information and response error.

González, L M; Singer, J M; Stanek, E J

González, L M; Singer, J M; Stanek, E J.

Afiliação

González LM; Departamento de Estadística, Universidad Nacional de Colombia, Bogotá, Colombia ; Telephone: 57-1-3165000 Ext. 13210. Fax number: 57-1-3165327. Postal address: Ciudad Universitaria, edificio 405, oficina 315, Bogotá, Colombia.
Singer JM; Departamento de Estatística, Universidade de São Paulo, São Paulo, Brazil.
Stanek EJ; Department of Public Health, University of Massachusetts, Amherst, USA.

J Stat Theory Pract ; 8(4): 772-791, 2014 Oct 02.

Article em En | MEDLINE | ID: mdl-25089123

RESUMO

We use a finite population mixed model that accommodates response error in the survey variable of interest and auxiliary information to obtain optimal estimators of population parameters from data collected via simple random sampling. We illustrate the method with the estimation of a regression coefficient and conduct a simulation study to compare the performance of the empirical version of the proposed estimator (obtained by replacing variance components with estimates) with that of the least squares estimator usually employed in such settings. The results suggest that when the auxiliary variable distribution is skewed, the proposed estimator has a smaller mean squared error.

Palavras-chave

BLUP; optimal estimator; random permutation model; regression coefficient

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Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies Idioma: En Revista: J Stat Theory Pract Ano de publicação: 2014 Tipo de documento: Article País de afiliação: Colômbia País de publicação: Estados Unidos

Texto completo

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