Statistical applications of Jordan algebras

zbMath0804.62001MaRDI QIDQ1335295

James D. Malley

Publication date: 28 September 1994

Published in: Lecture Notes in Statistics (Search for Journal in Brave)

zbMATH Keywords

idempotentsJordan algebrasmissing dataconvex spacerandom quadratic formsgeneral linear mixed modelmaximum likelihood estimation of patterned covariance matricessimplification of the EM algorithm

Mathematics Subject Classification ID

Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Research exposition (monographs, survey articles) pertaining to statistics (62-02) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (11)

POVMs and the two theorems of Naimark and Sz.-Nagy ⋮ Doubly autoparallel structure and curvature integrals. Applications to iteration complexity for solving convex programs ⋮ On the existence of the Gauss-Markov estimators in linear mixed models ⋮ Jordan algebras, generating pivot variables and orthogonal normal models ⋮ Quadratic subspaces and construction of Bayes invariant quadratic estimators of variance components in mixed linear models ⋮ Lattices of Jordan algebras ⋮ Estimation of Variance Components for a Linear Toeplitz Model ⋮ Binary operations on Jordan algebras and orthogonal normal models ⋮ Cross additivity in balanced cross nesting models ⋮ Linear Toeplitz covariance structure models with optimal estimators of variance components ⋮ Balanced prime basis factorial fixed effects model with random number of observations

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