Joint estimation for normal orthogonal mixed models

Research output: Contribution to journalArticlepeer-review


Commutative Jordan algebras are used to express the structure ofmixed orthogonal models and to derive complete sufficient statistics.From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first ofsingle models then of several such models. These models may correspond to experiments designed separately so our results may be seenas a contribution to this meta-analysis.
Original languageEnglish
Pages (from-to)5-13
Number of pages9
JournalDiscussiones Mathematicae: Probability and Statistics
Publication statusPublished - 1 Jan 2007


  • normal orthogonal mixed models
  • commutative Jordan algebras
  • meta-analysis


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