A new way for ranking functional data with applications in diagnostic test

Graciela Estévez-Pérez () and Philippe Vieu ()
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Graciela Estévez-Pérez: Universidade da Coruña
Philippe Vieu: Université Paul Sabatier

Computational Statistics, 2021, vol. 36, issue 1, No 6, 127-154

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.

Keywords: Diagnostic test; Ordering; Functional biomarkers; ROC curves (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00180-020-01020-z

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