Asymptotic expansion of the distribution of the Z statistic in discriminant analysis

DOI10.1016/0047-259X(71)90004-2zbMath0224.62024OpenAlexW2044703443MaRDI QIDQ5630490

Ahmed Zogo Memon, Masashi T. Okamoto

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0047-259x(71)90004-2

zbMATH Keywords

asymptotic expansiondiscriminant analysismaximum likelihood procedureprobability of misclassificationminimax propertyZ statisticAnderson statistic W

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Classification and discrimination; cluster analysis (statistical aspects) (62H30)

Related Items (7)

Asymptotic error rates of the W and Z statistics when the training observations are dependent ⋮ High-dimensional asymptotic results for EPMCs of W- and Z- rules ⋮ Asymptotic expansions relating to discrimination based on two-step monotone missing samples ⋮ An Edgeworth-type expansion for the distribution of a likelihood-based discriminant function ⋮ Siotani's Contributions to Multivariate Statistical Analysis ⋮ Classification and Discrimination Problems with Applications, Part IIa ⋮ The Asymptotic Approximation of EPMC for Linear Discriminant Rules Using a Moore-Penrose Inverse Matrix in High Dimension

Cites Work

• On classification by the statistics R and Z
• THE CLASSIFICATORY PROBLEM VIEWED AS A TWO-DECISION PROBLEM
• Optimum Classification Rules for Classification into Two Multivariate Normal Populations
• An Asymptotic Expansion for the Distribution of the Linear Discriminant Function
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