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- catalog abstract "This volume brings together the author's work in mathematical statistics as viewed through the lens of Jordan algebras. In particular the three main areas covered in this work are: applications to random quadratic forms (sums of squares); the investigation of algebraic simplifications of maximum likelihood estimation of patterned covariance matrices; and a more wide-ranging mathematical exploration of some of the algebraic problems discussed. The author gives a full and rigorous definition of Jordan algebras and their essential properties and shows how they provide a natural and powerful algebraic tool for statisticians. In particular, the application of these methods to the M-step of the EM algorithm both simplifies this analysis and resolves some practical and important problems. This intertwining of ideas presented by the author will make this an interesting account suitable for researchers addressing these problems in statistics.".
- catalog contributor b6738705.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This volume brings together the author's work in mathematical statistics as viewed through the lens of Jordan algebras. In particular the three main areas covered in this work are: applications to random quadratic forms (sums of squares); the investigation of algebraic simplifications of maximum likelihood estimation of patterned covariance matrices; and a more wide-ranging mathematical exploration of some of the algebraic problems discussed. The author gives a full and rigorous definition of Jordan algebras and their essential properties and shows how they provide a natural and powerful algebraic tool for statisticians. In particular, the application of these methods to the M-step of the EM algorithm both simplifies this analysis and resolves some practical and important problems. This intertwining of ideas presented by the author will make this an interesting account suitable for researchers addressing these problems in statistics.".
- catalog extent "102 p. ;".
- catalog hasFormat "Statistical applications of Jordan algebras.".
- catalog identifier "0387943412 (acid-free)".
- catalog isFormatOf "Statistical applications of Jordan algebras.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; v. 91.".
- catalog isPartOf "Lecture notes in statistics ; 91".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "New York : Springer-Verlag,".
- catalog relation "Statistical applications of Jordan algebras.".
- catalog subject "512/.24 20".
- catalog subject "Algebra.".
- catalog subject "Distribution (Probability theory).".
- catalog subject "Jordan algebras.".
- catalog subject "Mathematical statistics.".
- catalog subject "Mathematics.".
- catalog subject "QA252.5 .M35 1994".
- catalog title "Statistical applications of Jordan algebras / James D. Malley.".
- catalog type "text".