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Some Applications of the Multivariate Normal Distribution in Science and Engineering

In: THE MULTIVARIATE NORMAL DISTRIBUTION Theory and Applications

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  • PHAM-GIA THU

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

Suggested Citation

  • Pham-Gia Thu, 2021. "Some Applications of the Multivariate Normal Distribution in Science and Engineering," World Scientific Book Chapters, in: THE MULTIVARIATE NORMAL DISTRIBUTION Theory and Applications, chapter 10, pages 311-345, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789811235290_0010
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    Keywords

    Univariate Normal; Multivariate; Random Variable; Random Vector; Random Matrix; Applications: Education; Psychology; Quality Control; Pattern Recognition;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics

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