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INDEPENDENCE DISTRIBUTION-PRESERVING NONNEGATIVE-DEFINITE COVARIANCE STRUCTURES FOR THE SAMPLE VARIANCE

✍ Scribed by Young, Dean M. ;Lehman, Leah M. ;Meaux, Laurie M.


Book ID
115210878
Publisher
Wiley (Blackwell Publishing)
Year
1996
Tongue
English
Weight
379 KB
Volume
38
Category
Article
ISSN
0004-9581

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✍ Dean M. Young; John W. Seaman; Laurie M. Meaux πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 114 KB

Consider the multivariate linear model for the random matrix Y n\_p t MN(XB, V 7), where B is the parameter matrix, X is a model matrix, not necessarily of full rank, and V 7 is an np\_np positive-definite dispersion matrix. This paper presents sufficient conditions on the positive-definite matrix V

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For the general Gauss-Markov model with E(Y ) = XΓΏ and Var(Y ) = V , we give a concise proof of an explicit characterization of the general nonnegative-deΓΏnite covariance structure V such that the best linear unbiased estimator, weighted least-squares estimator, and least-squares estimator of X ΓΏ ar