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stat.ME2024★ 1 cited
From sparse to dense functional time series: phase transitions of detecting structural breaks and beyond
Leheng Cai, Qirui Hu
We develop a novel methodology for detecting abrupt break points in mean functions of functional time series, adaptable to arbitrary sampling schemes. By employing B-spline smoothi…
stat.ME2024★ 1 cited
From Sparse to Dense Functional Data: Phase Transitions from a Simultaneous Inference Perspective
Leheng Cai, Qirui Hu
We aim to develop simultaneous inference tools for the mean function of functional data from sparse to dense. First, we derive a unified Gaussian approximation to construct simulta…