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On maximum depth classifiers: depth distribution approach

Olusola Samuel Makinde and Olusoga Akin Fasoranbaku

Journal of Applied Statistics, 2018, vol. 45, issue 6, 1106-1117

Abstract: In this paper, we consider the notions of data depth for ordering multivariate data and propose a classification rule based on the distribution of some depth functions in $ \mathbb {R}^d $ Rd. The equivalence of the proposed classification rule to optimal Bayes rule is discussed under suitable conditions. The performance of the proposed classification method is investigated in low- and high-dimensional setting using real datasets. Also, the performance of the proposed classification method is illustrated in comparison to some other depth-based classifiers using simulated data sets.

Date: 2018
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DOI: 10.1080/02664763.2017.1342783

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