A New Way for Ranking Functional Data With Applications in Diagnostic Test

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Vieu, Philippe

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Estévez-Pérez, G., Vieu, P. A new way for ranking functional data with applications in diagnostic test. Comput Stat 36, 127–154 (2021). https://doi.org/10.1007/s00180-020-01020-z

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Abstract

[Abstract] This is a two faces paper. Firstly, it investigates diagnostic tests in situations when the observed variables are functional, that is, diagnostic tests that use functional variables as biomarkers. A procedure based on functional version of ROC analysis is proposed, the main question being linked with a suitable way for ranking the sample of functional data. The second facet of this paper is to present a general new way for ordering functional data in a self-contained way allowing for a wide scope of applications overpassing the former diagnostic test problem. Finite sample analysis highlight how this ranking procedure behaves for diagnostic test.

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This is an accepted version of the published document. This version of the article has been accepted for publication, after peer review (when applicable), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00180-020-01020-z

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© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. Subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms)