INDEPENDENCE DISTRIBUTION-PRESERVING NONNEGATIVE-DEFINITE COVARIANCE STRUCTURES FOR THE SAMPLE VARIANCE
β 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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π SIMILAR VOLUMES
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
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