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Nonparametric local inference for functional data defined on manifold domains
Last modified: 2023-06-15
Abstract
We propose a method to test locally functional data whose domain is a Riemaniann manifold. The procedure is based on testing hypotheses on a suitably defined family of balls of the domain, and can be applied to a vast variety of different functional tests. The final result is an adjusted p-value function defined on the same domain as functional data, and controlling the ball-wise error rate.