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Asymptotics for Euclidean functionals of mixing processes

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  • Elia Liitiäinen

Abstract

We extend previously known asymptotic results in the framework of subadditive Euclidean functionals and the related superadditive functionals. Our results generalize the standard independent identically distributed assumption, vastly expanding the scope of the existing theory. As an application of our results, a limit theorem for the average nearest neighbor distance is established, extending earlier results in the literature.

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  • Elia Liitiäinen, 2017. "Asymptotics for Euclidean functionals of mixing processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(23), pages 11786-11800, December.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:23:p:11786-11800
    DOI: 10.1080/03610926.2017.1285925
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