Open AccessInference in normal models with commutative orthogonal block structure
Author(s) -
Miguel Fonseca,
João T. Mexia,
Roman Zmy
Publication year - 2008
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2008.12.01
Subject(s) - mathematics , commutative property , estimator , block (permutation group theory) , inference , random effects model , pure mathematics , confidence interval , algebraic structure , algebraic number , algebra over a field , statistics , combinatorics , computer science , mathematical analysis , artificial intelligence , medicine , meta analysis
Linear mixed normal models are studied in this paper. Using commutative Jordan algebras, the algebraic properties of these models are studied, as well as optimal estimators, hypothesis tests and confidence regions for fixed and random effects. Model crossing andnesting is then presented and analyzed.