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Self-normalization for Spatial Data

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  • Xianyang Zhang
  • Bo Li
  • Xiaofeng Shao

Abstract

type="main" xml:id="sjos12028-abs-0001"> This paper considers inference for both spatial lattice data with possibly irregularly shaped sampling region and non-lattice data, by extending the recently proposed self-normalization (SN) approach from stationary time series to the spatial setup. A nice feature of the SN method is that it avoids the choice of tuning parameters, which are usually required for other non-parametric inference approaches. The extension is non-trivial as spatial data has no natural one-directional time ordering. The SN-based inference is convenient to implement and is shown through simulation studies to provide more accurate coverage compared with the widely used subsampling approach. We also illustrate the idea of SN using a real data example.

Suggested Citation

  • Xianyang Zhang & Bo Li & Xiaofeng Shao, 2014. "Self-normalization for Spatial Data," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(2), pages 311-324, June.
    • Handle: RePEc:bla:scjsta:v:41:y:2014:i:2:p:311-324
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    File URL: http://hdl.handle.net/10.1111/sjos.12028
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    References listed on IDEAS

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    5. Yongtao Guan & Michael Sherman & James A. Calvin, 2004. "A Nonparametric Test for Spatial Isotropy Using Subsampling," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 810-821, January.
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    7. Xiaofeng Shao, 2010. "A self‐normalized approach to confidence interval construction in time series," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(3), pages 343-366, June.
    8. Yoon Dong Lee & Soumendra N. Lahiri, 2002. "Least squares variogram fitting by spatial subsampling," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 837-854, October.
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    Cited by:

    1. Mackenbach, Johan P. & McKee, Martin, 2015. "Government, politics and health policy: A quantitative analysis of 30 European countries," Health Policy, Elsevier, vol. 119(10), pages 1298-1308.

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