Author | Malley, James D. author |
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Title | Statistical Applications of Jordan Algebras [electronic resource] / by James D. Malley |
Imprint | New York, NY : Springer New York, 1994 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2678-9 |
Descript | VII, 102 p. online resource |
1 Introduction -- 2 Jordan Algebras and the Mixed Linear Model -- 2.1 Introductio -- 2.2 Square Matrices and Jordan Algebra -- 2.3 Idempotents and Identity Element -- 2.4 Equivalent Definitions for a Jordan Algebr -- 2.5 Jordan Algebras Derived from Real Symmetric Matrice -- 2.6 The Algebraic Study of Random Quadratic Form -- 2.7 The Statistical Study of Random Quadratic Form -- 2.8 Covariance Matrices Restricted to a Convex Spac -- 2.9 Applications to the General Linear Mixed Mode -- 2.10 A Concluding Exampl -- 3 Further Technical Results on Jordan Algebras -- 3.0 Outline of this Chapte -- 3.1 The JNW Theore -- 3.2 The Classes of Simple, Formally Real, Special Jordan Algebra -- 3.3 The Jordan and Associative Closures of Subsets of Sm -- 3.4 Subspaces of -- 3.5 Solutions of the Equation: sasbs 0 -- 4 Jordan Algebras and the EM Algorithm -- 4.1 Introductio -- 4.2 The General Patterned Covariance Estimation Proble -- 4.3 Precise State of the Proble -- 4.4 The Key Idea of Rubin and Szatrowsk -- 4.5 Outline of the Proposed Metho -- 4.6 Preliminary Result -- 4.7 Further Details of the Proposed Metho -- 4.8 Estimation in the Presence of Missing Dat -- 4.9 Some Conclusions about the General Solutio -- 4.10 Special Cases of the Covariance Matrix Estimation Problem: Zero Constraint -- 4.11 Embeddings for Constant Diagonal Symmetric Matrice -- 4.12 Proof of the Embedding Problem for Sym(m)c -- 4.13 The Question of Nuisance Parameter