Asymptotic error rates of the W and Z statistics when the training observations are dependent

DOI10.1016/0031-3203(86)90045-2zbMath0623.62052OpenAlexW2013276223MaRDI QIDQ1091714

B. George

Publication date: 1986

Published in: Pattern Recognition (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0031-3203(86)90045-2

zbMATH Keywords

discriminationMahalanobis distanceclassification statisticsstationary autoregressive processAnderson W statisticasymptotic expansion of the expected error ratesindependent training observationsZ statistic

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

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Cites Work

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• Some asymptotic results on the effect of autocorrelation on the error rates of the sample linear discriminant function
• On classification by the statistics R and Z
• Efficiency of a Kernel Density Estimator Under an Autoregressive Dependence Model
• Correction Notes: Correction to "An Asymptotic Expansion for the Distribution of the Linear Discriminant Function"
• Asymptotic expansion of the distribution of the Z statistic in discriminant analysis

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