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Titlebook: Innovations in Multivariate Statistical Analysis; A Festschrift for He R. D. H. Heijmans,D. S. G. Pollock,A. Satorra Book 2000 Springer Sci

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Asymptotic Inference Based on Eigenprojections of Covariance and Correlation Matrices,ere carried over to the case of the sample correlation matrix by Kollo (1984). For rotationally invariant distributions, the asymptotic properties of estimation and hypothesis testing on the basis of eigenprojections of the sample covariance matrix were discussed by Fan and Fang (1990).
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Asymptotic Behaviour of Sums of Powers of Residuals in the Classic Linear Regression Model,nequality. The inequality simply states that, if. where . denotes expectation and . denotes probability, see [2, p.74]. Using this inequality implies that certain consistency results can be proven much more easily as we are completely free in the choice of a as long as it is positive.
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1570-5811 Reference to Kronecker Products‘ in the .Journal ofthe. .American Statistical Association. (1969) have witnessedthe growing influence of matrix analysis in many scientificdisciplines. Amongst these are the disciplines to which Neudecker hascontributed directly - namely econometrics, economics,psych
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Scaled and Adjusted Restricted Tests in Multi-Sample Analysis of Moment Structures,t for across-group invariance of specific model parameters. One issue which is central in moment structure analysis is the goodness-of-fit test of the model and the test of restrictions on parameters.
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,Some Comments and a Bibliography on the Frucht—Kantorovich and Wielandt Inequalities,2], pp. 106–107). In (1) . is a real . х 1 vector and . is a real . х . symmetric positive definite matrix, with λ. and λ., respectively, its (fixed) largest and smallest, necessarily positive, eigenvalues. (All matrices and vectors in this paper are real.)
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On Matrix Trace Kantorovich-type Inequalities,erive new inequalities involving the Hadamard product, and to propose conjectures. In the statistical applications, new criteria for efficiency comparisons in the linear model are introduced. Examples, illustrated by figures, are used to examine upper bounds for known and new criteria.
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