Improved approximations to distributions of the largest and the smallest latent roots of a wishart matrix

作者: Sadanori Konishi , Takakazu Sugiyama

DOI: 10.1007/BF02480916

关键词: MathematicsSample (statistics)Applied mathematicsCombinatoricsPopulationSample mean and sample covarianceWishart distributionConfidence intervalEstimation of covariance matricesBivariate analysisSimple (abstract algebra)

摘要: Normalizing transformations of the largest and smallest latent roots a sample covariance matrix in normal are obtained, when corresponding population simple. Using our results, confidence intervals for may easily be constructed. Some numerical comparisons resulting approximations made bivariate case, based on exact values probability integral roots.

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