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Estimation and hypothesis testing in mixed linear models
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Resumo(s)
This thesis focuses on inference and hypothesis testing for parameters in orthogonal
mixed linear models. A canonical form for such models is obtained using the matrices
in principal basis of the commutative Jordan algebra associated to the model.
UMVUE are derived and used for hypothesis tests. When usual F tests are not
possible to use, generalized F tests arise, and the distribution for the statistic of
such tests is obtained under some mild conditions. application of these results is
made to cross-nested models.
Descrição
Dissertação apresentada para obtenção do Grau de Doutor em Matemática, Estatística, pela Universidade Nova de Lisboa, faculdade de Ciências e Tecnologia