Isotonic logistic discrimination

Sungyoung Auh and Allan R. Sampson

Biometrika, 2006, vol. 93, issue 4, 961-972

Abstract: We propose an isotonic logistic discrimination procedure which generalises linear logistic discrimination by allowing linear boundaries to be more flexibly shaped as monotone functions of the discriminant variables. Under each of three familiar sampling schemes for obtaining a training dataset, namely prospective, mixture and retrospective, we provide the corresponding likelihood-based inference. An application to a cancer study is given. In addition, we consider theoretical comparisons of our method with two recent algorithmic monotone discrimination procedures. Copyright 2006, Oxford University Press.

Date: 2006
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