Asymptotics for Euclidean functionals of mixing processes

Elia Liitiäinen

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 23, 11786-11800

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.

Date: 2017
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DOI: 10.1080/03610926.2017.1285925

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