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On the definition of a concentration function relevant to the ROC curve

Mauro GaspariniDepartment of Mathematical Sciences “G.L. Lagrange”, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10124, Torino, ItalyLidia SacchettoDepartment of Mathematical Sciences “G.L. Lagrange”, Politecnico di Torino and Università di Torino, Corso Duca degli Abruzzi 24, 10124, Torino, Italy
METRONjournal2020en
ABI

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Abstract This work provides a definition of concentration curve alternative to the one presented on this journal by Schechtman and Schechtman (Metron 77:171–178, 2019). Our definition clarifies, at the population level, the relationship between concentration and the omnipresent ROC curve in diagnostic and classification problems.

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