Orador: Prof. Doutor João Tiago Mexia (Professor Catedrático Jubilado, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa).
Data, hora e local: 15 de fevereiro de 2016, às 16h na sala de reuniões do Departamento de Matemática.
Resumo: Mixed models whose variance-covariance matrices are the positive definite linear combinations of pairwise orthogonal orthogonal projection matrices have orthogonal block structure. In this presentation in addition to obtain conditions for having optimal estimators for estimable vectors and variance components, we also show that the least square estimators for the models are uniformly best linear unbiased estimators. Thus they are best linear unbiased estimators whatever the variance componentes.
Funded by the Portuguese Government through the FCT – Fundação para a Ciência e a Tecnologia under the project UID/MAT/00212/2013
