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SCRA 2006-FIM XIII-Thirteenth International Conference of the Forum for Interdisciplinary Mathematics on Interdisciplinary Mathematical and Statistical Techniques
September 1-4, 2006
New University of Lisbon-Tomar Polytechnic Institute
Lisbon-Tomar, Portugal

Organizers
Sat Gupta, Carlos Coelho and Satya Mishra

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Inference for estimable vectors in models with segregation
by
Miguel Fonseca
New University of Lisbon
Coauthors: Joćo Tiago Mexia, Roman Zmyslony

Commutative Jordan algebras are used to study the algebraic structure of orthogonal mixed models with segregation. The

fixed effects part of these models is then considered. UMVUE for estimable vectors are obtained once normality is

assumed. confidence regions for estimable vectors are obtained using pivot variables and hypothesys tests are derived

through duality.

Date received: July 15, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # catj-29.