Multinomial logistic estimation in dual frame surveys

  1. David Molina 1
  2. Maria del Mar Rueda 1
  3. Antonio Arcos 1
  4. Maria Giovanna Ranalli
  1. 1 Universidad de Granada. Departamento de Estadística e Investigación Operativa
Revista:
Sort: Statistics and Operations Research Transactions

ISSN: 1696-2281

Año de publicación: 2015

Volumen: 39

Número: 2

Páginas: 309-336

Tipo: Artículo

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Otras publicaciones en: Sort: Statistics and Operations Research Transactions

Resumen

We consider estimation techniques from dual frame surveys in the case of estimation of proportions when the variable of interest has multinomial outcomes. We propose to describe the joint distribution of the class indicators by a multinomial logistic model. Logistic generalized regression estimators and model calibration estimators are introduced for class frequencies in a population. Theoretical asymptotic properties of the proposed estimators are shown and discussed. Monte Carlo experiments are also carried out to compare the efficiency of the proposed procedures for finite size samples and in the presence of different sets of auxiliary variables. The simulation studies indicate that the multinomial logistic formulation yields better results than the classical estimators that implicitly assume individual linear models for the variables. The proposed methods are also applied in an attitude survey.

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Financiadores

    • MTM2012-35650

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