Quadratic discrimination: Some results on optimal low-dimensional representation

DOI10.1016/0378-3758(87)90122-4zbMath0635.62051OpenAlexW2013159914MaRDI QIDQ1097609

Virgil R. Marco, Dean M. Young, Patrick L. Odell

Publication date: 1987

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(87)90122-4

zbMATH Keywords

multivariate normal distributionsBayes classification ruleprobability of misclassificationquadratic discriminationlinear transformation for low-dimensional representationlow-dimensional hyperplaneunequal covariance matrices

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Compound decision problems in statistical decision theory (62C25)

Related Items (3)

Probability-enhanced sufficient dimension reduction for binary classification ⋮ On the structure of the quadratic subspace in discriminant analysis ⋮ Between-group analysis with heterogeneous covariance matrices: The common principal component model

Cites Work

• Unnamed Item
• Some remarks on allocatory and separatory linear discrimination
• On minimizing the probability of misclassification for linear feature selection
• Linear discrimination for three known normal populations
• Discriminant Analysis
• Least squares, singular values and matrix approximations

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