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On weighted U-statistics for stationary random fields

Jana Klicnarová — 2017

Kybernetika

The aim of this paper is to introduce a central limit theorem and an invariance principle for weighted U-statistics based on stationary random fields. Hsing and Wu (2004) in their paper introduced some asymptotic results for weighted U-statistics based on stationary processes. We show that it is possible also to extend their results for weighted U -statistics based on stationary random fields.

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