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Part of the book series: Lecture Notes in Statistics ((LNS,volume 39))

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Abstract

In this chapter we pull together the essential parts of rings and algebras that we later use for the structure theory of variance component estimation. We have made an effort to keep the definitions to the minimum needed for an adequate description of this structure theory. Examples have been collected from the statistical literature which have a nontrivial algebraic content, but which may not have been appreciated as such by many readers.

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© 1986 Springer-Verlag Berlin Heidelberg

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Malley, J.D. (1986). Background from Algebra. In: Optimal Unbiased Estimation of Variance Components. Lecture Notes in Statistics, vol 39. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-7554-2_7

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  • DOI: https://doi.org/10.1007/978-1-4615-7554-2_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-96449-2

  • Online ISBN: 978-1-4615-7554-2

  • eBook Packages: Springer Book Archive

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