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Évaluation de la précision d’estimateurs de fonctionnelles : l’exemple de la consommation alimentaire

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Listed:
  • Patrice Bertail
  • Christine Boizot
  • Pierre Combris

Abstract

This paper proposes several methods for computing precise confidence intervals or evaluating the precision of some statistics related to individual food consumption, based on complex household food survey datas. We show how it is possible to obtain asymptotic confidence intervals for non-linear functionals thanks to the delta method and the notion of Hadamard differentiability. However asymptotic confidence intervals may not be very precise and to not take into account the dissymetries of the statistics or the underlying distributions. We develop two different methods based on resampling ideas to obtain precise confidence intervals. The first one is a transposition of the weighted bootstrap to survey sampling. The second uses the universal properties of subsampling and extrapolation methods to obtain rapidly accurate results. We compare and apply these methods to the construction of confidence intervals for means, fractiles, dispersion indexes of individual food consumptions (with or without null consumptions). We apply these methods to several products from the 1994 Secodip french panel.

Suggested Citation

  • Patrice Bertail & Christine Boizot & Pierre Combris, 2003. "Évaluation de la précision d’estimateurs de fonctionnelles : l’exemple de la consommation alimentaire," Cahiers d'Economie et Sociologie Rurales, INRA Department of Economics, vol. 67, pages 71-102.
    • Handle: RePEc:rae:jouces:v:67:y:2003:p:71-102
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    File URL: http://ageconsearch.umn.edu/bitstream/205942/2/67-71-102.pdf
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    References listed on IDEAS

    as
    1. David Letson & B.D. McCullough, 1998. "Better Confidence Intervals: The Double Bootstrap with No Pivot," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 80(3), pages 552-559.
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