On weighted U-statistics for stationary random fields

Jana Klicnarová

Kybernetika (2017)

  • Volume: 53, Issue: 2, page 220-230
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Klicnarová, Jana. "On weighted U-statistics for stationary random fields." Kybernetika 53.2 (2017): 220-230. <http://eudml.org/doc/288206>.

@article{Klicnarová2017,
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.},
author = {Klicnarová, Jana},
journal = {Kybernetika},
keywords = {limit theorem; U-statistics; random fields},
language = {eng},
number = {2},
pages = {220-230},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On weighted U-statistics for stationary random fields},
url = {http://eudml.org/doc/288206},
volume = {53},
year = {2017},
}

TY - JOUR
AU - Klicnarová, Jana
TI - On weighted U-statistics for stationary random fields
JO - Kybernetika
PY - 2017
PB - Institute of Information Theory and Automation AS CR
VL - 53
IS - 2
SP - 220
EP - 230
AB - 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.
LA - eng
KW - limit theorem; U-statistics; random fields
UR - http://eudml.org/doc/288206
ER -

References

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