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Spatial circular matrices, with applications

Author

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  • Grant Hillier

    (Institute for Fiscal Studies and University of Southampton)

  • Federico Martellosio

    (Institute for Fiscal Studies)

Abstract

The cumulants of the quadratic forms associated to the so-called spatial design matrices are often needed for inference in the context of isotropic processes on uniform grids. Unfortunately, because the eigenvalues of the matrices involved are generally unknown, the computation of the cumulants may be very demanding if the grids are large. This paper constructs circular counterparts, with known eigenvalues, to the spatial design matrices. It then studies some of their properties, and analyzes their performance in a number of applications.

Suggested Citation

  • Grant Hillier & Federico Martellosio, 2010. "Spatial circular matrices, with applications," CeMMAP working papers CWP06/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:06/10
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    File URL: http://cemmap.ifs.org.uk/wps/cwp0610.pdf
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    References listed on IDEAS

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    1. Reinaldo Arellano-Valle & Marc Genton, 2010. "An invariance property of quadratic forms in random vectors with a selection distribution, with application to sample variogram and covariogram estimators," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 62(2), pages 363-381, April.
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