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Asymptotic expansions for statistics computed from spatial data

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Summary

The Edgeworth expansions for dependent data are generalized to the context of spatial patterns, with the aim of obtaining asymptotic expansions which approximate the distribution of statistics computed from spatial data, generated by a weakly dependent coverage process. In particular, the case of estimating the expected proportion (its porosity) of a region that is not covered by the process is treated in detail and explicit formulae are given in the context of a Boolean model, assuming that the random sets generating the model are essentially bounded and satisfy a version of Cramér’s condition.

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Authors and Affiliations

  1. Departamento de Estadística e Investigación Operativa, Universidad de Vigo, Torrecedeira 105, 36208, Vigo, Spain

    P. García-Soidán

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  1. P. García-Soidán
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García-Soidán, P. Asymptotic expansions for statistics computed from spatial data. Test 5, 61–76 (1996). https://doi.org/10.1007/BF02562682

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  • DOI: https://doi.org/10.1007/BF02562682

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