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Model-based variance estimation in two-dimensional systematic sampling

Author

Listed:
  • Giuseppe Espa

    (Universita degli Studi di Trento)

  • Diego Giuliani

    (Universita degli Studi di Trento)

  • Flavio Santi

    (Universita degli Studi di Trento)

  • Emanuele Taufer

    (Universita degli Studi di Trento)

Abstract

A variance estimator for the mean of a systematic sample in two dimensions is proposed and analyzed. The estimation strategy relies on a super-population model which follows a spatial auto-regressive structure and allows for the presence of covariates. The small sample properties of the proposed procedure are analyzed by simulations: the model-based estimation strategy shows an excellent performance in a variety of situations which are common in real situations.

Suggested Citation

  • Giuseppe Espa & Diego Giuliani & Flavio Santi & Emanuele Taufer, 2017. "Model-based variance estimation in two-dimensional systematic sampling," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 265-275, December.
    • Handle: RePEc:spr:metron:v:75:y:2017:i:3:d:10.1007_s40300-017-0125-z
    DOI: 10.1007/s40300-017-0125-z
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    References listed on IDEAS

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    1. Roberto Benedetti & Federica Piersimoni & Paolo Postiglione, 2015. "Sampling Spatial Units for Agricultural Surveys," Advances in Spatial Science, Springer, edition 127, number 978-3-662-46008-5, Fall.
    2. Jean D. Opsomer & Mario Francisco-Fernández & Xiaoxi Li, 2012. "Model-Based Non-parametric Variance Estimation for Systematic Sampling," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(3), pages 528-542, September.
    3. Giorgio Montanari & Francesco Bartolucci, 1998. "On estimating the variance of the systematic sample mean," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 7(2), pages 185-196, August.
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    Cited by:

    1. Jean D. Opsomer & M. Giovanna Ranalli & Maria Michela Dickson, 2017. "Foreword to the special issue on “Advances in Survey Statistics”," METRON, Springer;Sapienza Università di Roma, vol. 75(3), pages 245-247, December.
    2. Flavio Santi & Maria Michela Dickson & Diego Giuliani & Giuseppe Arbia & Giuseppe Espa, 2021. "Reduced-bias estimation of spatial autoregressive models with incompletely geocoded data," Computational Statistics, Springer, vol. 36(4), pages 2563-2590, December.

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