Linear discrimination with equicorrelated training vectors

DOI10.1016/j.jmva.2006.06.002zbMath1112.62057OpenAlexW1974972726MaRDI QIDQ864276

Ricardo Leiva

Publication date: 13 February 2007

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmva.2006.06.002

zbMATH Keywords

likelihood ratio testlinear discriminationequicorrelated training vectors

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Hypothesis testing in multivariate analysis (62H15) Pattern recognition, speech recognition (68T10)

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Cites Work

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• Testing the equality of several intraclass correlation coefficients
• Predictive inference on equicorrelated linear regression models
• Selecting variables for discrimination when covariance matrices are unequal
• Inferences Concerning a Common Intraclass Correlation Coefficient
• Bhattacharyya distance based linear discriminant function for stationary time series
• Combined estimators for the correlation coefficient
• Testing intraclass correlation coefficients
• Nonnull distribution of the likelihood ratio criterion for testing equality of covariance matrices under intraclass correlation model
• Determining the effects of intraclass correlation on factorial experiments
• Comparison of intracalss correlation coefficients with the ratio of two independent f-statistics
• Test for the equality of interclass correlation cofefficients under unequal family sizes for several populations
• LIKELIHOOD RATIO TEST OF EQUALITY OF SEVERAL VARIANCES IN THE INTRACLASS CORRELATION MODEL
• Test for Equality of Intraclass Correlation Coefficients under Unequal Family Sizes
• Combined Maximum Likelihood Estimates for the Equicorrelation Coefficient
• Distances between normal populations when covariance matrices are unequal
• An Asymptotic Expansion for the Distribution of the Linear Discriminant Function
• An Inverse Matrix Adjustment Arising in Discriminant Analysis

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