Tests for separability in nonparametric covariance operators of random surfaces

@article{Aston2017TestsFS,
  title={Tests for separability in nonparametric covariance operators of random surfaces},
  author={J. Aston and D. Pigoli and S. Tavakoli},
  journal={Annals of Statistics},
  year={2017},
  volume={45},
  pages={1431-1461}
}
  • J. Aston, D. Pigoli, S. Tavakoli
  • Published 2017
  • Mathematics
  • Annals of Statistics
  • We consider the problem of testing for separability in nonparametric covariance operators of multidimensional functional data is considered. We cast the problem in a tensor product of Hilbert space framework, where the role of the partial trace operator is emphasized, and the tests proposed are computationally tractable. An applications to acoustic phonetic data is also presented. 
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