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College of Arts & Sciences
Department of Statistics

Jun Li Colloquium

Thursday, September 8, 2016 - 2:45pm

Statistics Department Colloquium

Where: LeConte College, Room 210

Speaker: Jun Li

Affiliation: Kent State University, Department of Mathematical Sciences

Title:  Temporal Homogeneity Test of High-Dimensional Means

Abstract: Functional magnetic resonance imaging (fMRI) data are characterized by complex dependence structures: the spatial dependence among the components of each high-dimensional measurement at a particular time point, and the temporal dependence among different high-dimensional measurements collected at different time points. Motivated by real applications in the fMRI studies, we consider the problem of testing temporal homogeneity of p-dimensional population mean vectors from the repeated measurements of n subjects over T times. A test statistic is proposed to take into account not only the “large p, large T and small n” situation, but also the complex temporospatial dependence. The asymptotic distribution of the proposed test statistic is established under mild conditions. When the null hypothesis of temporal homogeneity is rejected, we further propose a binary segmentation method shown to be consistent for multiple change.