Kybernetika 53 no. 2, 220-230, 2017

On weighted U-statistics for stationary random fields

Jana KlicnarováDOI: 10.14736/kyb-2017-2-0220

Abstract:

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.

Keywords:

limit theorem, U-statistics, random fields

Classification:

60F05

paper.pdf

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