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Comparison of procedures for estimation of error rates in discriminant analysis under nonnormal population
Abstract:The parametric and nonparametric methods for estimating the error rates in linear discriminant analysis are examined both in normal and in nonnormal situations. A Monte Carlo experiment was carried out under the assumption that two population distributions were characterized by a mixture of two multivariate normal distributions. The bootstrap bias-corrected apparent error rate compares favourably to other available estimators for nonnormal populations with small Mahalanobis distance. The methods for error estimation are also applied to a practical problem in medical diagnosis
Keywords:Actual Error Rate  Asymptotic Expansion  Bootstrap Methods  Linear Discriminant Function  Medical Diagnosis  Mixture of Multivariate Normal Distributions  Monte Carlo Experiment
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