Geodesic
On weighted U-statistics for stationary random fields
Kybernetika, Tome 53 (2017) no. 2, pp. 220-230
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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.
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.
DOI : 10.14736/kyb-2017-2-0220
Classification : 60F05
Keywords: limit theorem; U-statistics; random fields 
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Klicnarová, Jana. On weighted U-statistics for stationary random fields. Kybernetika, Tome 53 (2017) no. 2, pp. 220-230. doi: 10.14736/kyb-2017-2-0220

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