A pool-smoothing FPC-based covariance test for discretely observed functional data is developed that maintains valid asymptotics with growing truncation and exhibits a phase transition to full-observation performance at high sampling frequencies.
Distan ces and Inference for Covariance Operators,
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Covariance test for discretely observed functional data: when and how it works?
A pool-smoothing FPC-based covariance test for discretely observed functional data is developed that maintains valid asymptotics with growing truncation and exhibits a phase transition to full-observation performance at high sampling frequencies.