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Estimating the percentage of food expenditure in small areas using bias-corrected P-spline based estimators

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  • Militino, A.F.
  • Goicoa, T.
  • Ugarte, M.D.

Abstract

Small area estimators based on a penalized spline regression model approximating a non-linear but smooth relationship between a response and a given covariate are obtained. In each small area, individual curves are fitted using penalized splines with B-spline bases, exploiting the mixed model representation of the P-splines for inferential purposes. To account for possible bias, a design-oriented bootstrap correction is proposed. The mean squared error of the bias-corrected estimator is also provided. The methods are used to estimate the percentage of food expenditure for alternative household sizes at provincial level in Spain using the 2006 Spanish Household Budget Survey.

Suggested Citation

  • Militino, A.F. & Goicoa, T. & Ugarte, M.D., 2012. "Estimating the percentage of food expenditure in small areas using bias-corrected P-spline based estimators," Computational Statistics & Data Analysis, Elsevier, vol. 56(10), pages 2934-2948.
    • Handle: RePEc:eee:csdana:v:56:y:2012:i:10:p:2934-2948
    DOI: 10.1016/j.csda.2012.01.009
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    Cited by:

    1. J. L. Scealy & A. H. Welsh, 2017. "A Directional Mixed Effects Model for Compositional Expenditure Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(517), pages 24-36, January.
    2. Shonosuke Sugasawa & Tatsuya Kubokawa & J. N. K. Rao, 2018. "Small area estimation via unmatched sampling and linking models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(2), pages 407-427, June.
    3. Rebecca Steorts & M. Ugarte, 2014. "Comments on: “Single and two-stage cross-sectional and time series benchmarking procedures for small area estimation”," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(4), pages 680-685, December.

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