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http://hdl.handle.net/20.500.12207/6306
Title: | Operations with Iso-structured models with commutative orthogonal block structure: An introductory approach |
Authors: | Santos, Carla Dias, Cristina Nunes, Célia Mexia, João Tiago |
Keywords: | Algebraic structure Cartesian product Jordan algebra Linear mixed model |
Issue Date: | Dec-2023 |
Publisher: | Springer |
Citation: | Santos, C., Dias, C., Nunes, C., Mexia, J. (2023). Operations with Iso-structured models with commutative orthogonal block structure: An introductory approach. In C. Kitsos, T. Oliveira, F. Pierri, M. Restaino (Eds), Statistical modelling and risk analysis. ICRA 2022. Springer Proceedings in Mathematics & Statistics, vol 430, (pp. 157-168). Springer. https://doi.org/10.1007/978-3-031-39864-3_13 |
Abstract: | An approach to models based on an algebraic context allows interesting and useful statistical results to be derived or at least better understood. In the approach to models with commutative orthogonal block structure via algebraic structure it is possible to show that the orthogonal projection matrix in the space spanned by the mean vector commuting with the covariance matrix guarantees least squares estimators giving best linear unbiased estimators for estimable vectors. In this work we focus on the possibility of performing operations with models with commutative orthogonal block structure that are iso-structured, that is, models generating the same commutative Jordan Algebra of symmetric matrices. |
Peer reviewed: | yes |
URI: | http://hdl.handle.net/20.500.12207/6306 |
metadata.dc.identifier.doi: | https://doi.org/10.1007/978-3-031-39864-3_13 |
ISSN: | 2194-1009 |
Publisher version: | https://link.springer.com/chapter/10.1007/978-3-031-39864-3_13 |
Appears in Collections: | D-MCF - Publicações em Proceedings Indexadas à Scopus/WoS |
Files in This Item:
File | Description | Size | Format | |
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Operations with Iso-structured Models with Commutative Orthogonal Block Structure_ An Introductory Approach.pdf | 8.13 MB | Adobe PDF | View/Open Request a copy |
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