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- Title
STRUCTURED STAIR NESTING MODELS-TWO APPROACHES.
- Authors
DA CUNHA MONTEIRO, SANDRA INÊS; SALVADOR, DINA MARIA MORGADO; NUNES MEXIA, JOÃO TIAGO PRAÇA
- Abstract
The structured stair nesting model was proposed by [4] and it was introduced according with a step by step approach. The purpose of this work is to show that structured stair nesting models can be analyzed with a diferent approach, which we call global approach. We also show that, the two approaches, although originating different algebraic structures, allow to obtain the same estimators for the variance components. To express the algebraic structure of these model we will use commutative Jordan algebras.
- Subjects
ORDERED algebraic structures; RANDOM effects model; JORDAN algebras; MULTILEVEL models; MEAN value theorems
- Publication
Discussiones Mathematicae: Probability & Statistics, 2017, Vol 37, Issue 1/2, p135
- ISSN
1509-9423
- Publication type
Article
- DOI
10.7151/dmps.1192