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Keywords:
limit theorem; U-statistics; random fields
limit theorem; U-statistics; random fields
Summary:
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.
References:
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