Fully Functional Weighted Testing for Abrupt and Gradual Location Changes in Functional Time Series
函数型时间序列突发与渐进位置变化的全函数加权检验
Change point tests for abrupt changes in the mean of functional data, i.e., random elements in infinite-dimensional Hilbert spaces, are either based on dimension reduction techniques, e.g., based on principal components, or directly based on a functional CUSUM (cumulative sum) statistic. The former have often been criticized as not being fully functional and losing too much information. On the other hand, unlike the latter, they take the covariance structure of the data into…