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Statistics Department Research Seminar

SPECIAL SEMINAR: Aluisio Pinheiro, University of Campinas

Topic: Weighted U-Statistics

Abstract: Following the seminal papers of Hoeffding (1948,1961), consider statistics that can be defined as linear combinations of finite-dimensional symmetric functions of the data. These statistics are commonly known as weighted U-statistics. We discuss here some variants, such as : degenerate U-statistics (Dynkin ad Mandelaum, 1983); incomplete U-statistics (Janson, 1984); conditional U-statistics (Stute, 1991); and quasi U-statistics (Pinheiro et al., 2009, 2011, 2014). We study the main issues concerning the weights on each class with main focus on asymptotic behavior, specially under the important case of degeneracy of test statistics under the null hypothesis. We show that quasi U-statistics can be useful for high-dimensional data and dissimilarity measures apportionment. We present some applications to genetics, education, time series analysis and neurosciences. 



Tuesday, January 29, 2019 at 2:55pm to 3:50pm

Weniger Hall, 287
103 SW Memorial Place, Corvallis, OR 97331

Event Type

Lecture or Presentation

Event Topic

Academic, Research


Community Members, Faculty and Staff, Student, Alumni




Open to public - Free

Department of Statistics
Contact Name

Javier Rojo

Contact Email

Contact Phone


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