Nonparametric classification on two univariate distributions

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Title:	Nonparametric classification on two univariate distributions
Authors:	林千代;Lin, Chien-tai
Contributors:	淡江大學數學學系
Keywords:	Conditional probabilities of correct classification;Kolmogorov distance
Date:	2001-02-01
Issue Date:	2010-01-28 06:54:01 (UTC+8)
Publisher:	Taylor & Francis
Abstract:	A classification rule based on the minimum Kolmogorov distance for classifying an individual into one of two univariate populations is proposed. Some almost sure convergence theorems are derived and then utilized to study the limiting distributions of the conditional probabilities of correct classification. It is shown that the asymptotic distributions of the conditional probabilities of correct classification are normal under some mild conditions.
Relation:	Communications in Statistics: Theory and Methods 30(2), pp.319-330
DOI:	10.1081/STA-100002034
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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