A Two Sample Test based on U-statistic for Functional Data

We propose a two-sample test for the mean functions of functional data when the number of bases is much lager than the sample size. The novel test is based on U-statistics which avoids estimating the covariance operator accurately under the high dimensional situation. We further prove the asymptotic...

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Veröffentlicht in:	Acta mathematica Sinica. English series 2023-03, Vol.39 (3), p.533-552
Hauptverfasser:	Hu, Wen Juan, Wang, Liang, Zhang, Bao Xue, Wang, Guo Chang
Format:	Artikel
Sprache:	eng
Schlagworte:	Functionals Mathematics Mathematics and Statistics Normality Null hypothesis
Online-Zugang:	Volltext
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