Some Applications of the Multivariate Normal Distribution in Science and Engineering

Pham-Gia Thu

Chapter 10 in The Multivariate Normal Distribution:Theory and Applications, 2021, pp 311-345 from World Scientific Publishing Co. Pte. Ltd.

Abstract: The following sections are included:IntroductionBayesian Stress–Strength Multinormal ModelApplication to Eye Recognition of a SubjectThe normalized cross-correlation coefficientApplication to Pattern Recognition: Discrimination, Classification, and ClusteringBackgroundDiscrimination between two populationsRelations between fmax and some measures in statistical discrimination analysisDiscrimination between k populations, k > 2Relations between distances and Bayes errorIntersections of normal surfacesEquivalence between classical approach boundaries and boundaries provided by gmaxNumerical applicationsApplication to Statistical ClassificationOur approachFisher’s approachApplication to ClusteringClustering with a bound on the width of a clusterApplication of the Mahalanobis Square Distance in Landscape AnalysisApplications to Landscape AnalysisConclusionBibliography

Keywords: Univariate Normal; Multivariate; Random Variable; Random Vector; Random Matrix; Applications: Education; Psychology; Quality Control; Pattern Recognition (search for similar items in EconPapers)
JEL-codes: C01 C1 C15 C4 C46 (search for similar items in EconPapers)
Date: 2021
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