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Zbl 0932.62071
Hastie, Trevor; Tibshirani, Robert
Classification by pairwise coupling. (English)
[J] Ann. Stat. 26, No.2, 451-471 (1998). ISSN 0090-5364

Summary: We discuss a strategy for polychotomous classification that involves estimating class probabilities for each pair of classes, and then coupling the estimates together. The coupling model is similar to the Bradley-Terry method for paired comparisons [{\it R. A. Bradley} and {\it M. E. Terry}, Biometrika 39, 324-345 (1952; Zbl 0047.12903)]. We study the nature of the class probability estimates that arise, and examine the performance of the procedure in real and simulated data sets. Classifiers used include linear discriminants, nearest neighbors, adaptive nonlinear methods and the support vector machine.

MSC 2000:: *62H30 Statistical classification, etc.
62J15 Multiple comparisons
68T10 Pattern recognition

Keywords: Bradley-Terry model; paired comparisons

Citations: Zbl 0047.12903

Cited in: Zbl 1222.68336

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