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Optimal Unbiased Estimation of Variance Components

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Author(s): James D. Malley (auth.)
Series: Lecture Notes in Statistics 39
Edition: 1
Publisher: Springer-Verlag New York
Year: 1986

Language: English
Pages: 146
Tags: Statistics, general

Front Matter....Pages N2-IX
The Basic Model and The Estimation Problem....Pages 1-10
Basic Linear Technique....Pages 11-14
Linearization of the Basic Model....Pages 15-28
The Ordinary Least Squares Estimates....Pages 29-35
The Seely-Zyskind Results....Pages 36-59
The General Solution to Optimal Unbiased Estimation....Pages 60-69
Background from Algebra....Pages 70-92
The Structure of Semisimple Associative and Jordan Algebras....Pages 93-98
The Algebraic Structure of Variance Components....Pages 99-128
Statistical Consequences of the Algebraic Structure Theory....Pages 129-137
Concluding Remarks....Pages 138-139
Back Matter....Pages 140-146