4 papers
Inference for Multiple Change-points in Piecewise Locally Stationary Time Series
Wai Leong Ng, Xinyi Tang, Mun Lau Cheung +3
Change-point detection and locally stationary time series modeling are two major approaches for the analysis of non-stationary data. The former aims to identify stationary phases b…
Convergence of covariance and spectral density estimates for high-dimensional functional time series
Bufan Li, Xinghao Qiao, Weichi Wu +1
Second-order characteristics including covariance and spectral density functions are fundamentally important for both statistical applications and theoretical analysis in functiona…
Measuring deviations from spherical symmetry
Lujia Bai, Holger Dette
Most of the work on checking spherical symmetry assumptions on the distribution of the -dimensional random vector has its focus on statistical tests for the null hypothesis…
Practically significant change points in high dimension -- measuring signal strength pro active component
Pascal Quanz, Holger Dette
We consider the change point testing problem for high-dimensional time series. Unlike conventional approaches, where one tests whether the difference of the mean vectors before…