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Estimation procedure and inference for component totals of the economic aggregates in the “Frame SBS”

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  • Paolo Righi

    (Italian National Institute of statistics)

Abstract

Recently the Italian National Institute of Statistics - Istat - implemented a Business frame where several variables are collected from administrative registers. Nevertheless, these variables do not cover all statistical interests and some variables are collected only by the Small and Medium Enterprise survey – SME survey. The paper deals with the estimation of totals of variables strictly observed in Istat SME survey and proposes an estimation procedure, based on the projection estimator, exploiting the variables of the Business frame and coherent with respect to the totals of the variables in the frame. The result is an integrated output in the Business frame and a flexible tool useful for other statistical purposes. Inferential properties are shown theoretically and empirically and conditions to obtain unbiased estimates are pointed out.

Suggested Citation

  • Paolo Righi, 2016. "Estimation procedure and inference for component totals of the economic aggregates in the “Frame SBS”," Rivista di statistica ufficiale, ISTAT - Italian National Institute of Statistics - (Rome, ITALY), vol. 18(1), pages 83-97.
    • Handle: RePEc:isa:journl:v:18:y:2016:i:3:p:83-97
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    References listed on IDEAS

    as
    1. Jae Kwang Kim & J. N. K. Rao, 2012. "Combining data from two independent surveys: a model-assisted approach," Biometrika, Biometrika Trust, vol. 99(1), pages 85-100.
    2. Takis Merkouris, 2010. "Combining information from multiple surveys by using regression for efficient small domain estimation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(1), pages 27-48, January.
    3. Orietta Luzi & Roberto Monducci, 2016. "The new statistical register “Frame SBS”: overview and perspectives," Rivista di statistica ufficiale, ISTAT - Italian National Institute of Statistics - (Rome, ITALY), vol. 18(1), pages 5-14.
    4. Takis Merkouris, 2004. "Combining Independent Regression Estimators From Multiple Surveys," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1131-1139, December.
    5. Maria Cristina Casciano & Viviana De Giorgi & Filippo Oropallo & Giampiero Siesto, 2011. "Estimation of Structural Business Statistics for Small Firms by Using Administrative Data," Rivista di statistica ufficiale, ISTAT - Italian National Institute of Statistics - (Rome, ITALY), vol. 13(2-3), pages 55-74.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Administrative data sources; projection estimator; design based inference;
    All these keywords.

    JEL classification:

    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access

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