Temat: commutative Jordan algebras - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Algebraic structureof step nesting designs
Autorzy:: Fernandes, Célia
Ramos, Paulo
Mexia, João
Powiązania:: https://bibliotekanauki.pl/articles/729913.pdf
Data publikacji:: 2010
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: commutative Jordan algebras
cartesian product of commutative Jordan algebras
step nesting
variance components
UMVUE
Opis:: Step nesting designs may be very useful since they require fewer observations than the usual balanced nesting models. The number of treatments in balanced nesting design is the product of the number of levels in each factor. This number may be too large. As an alternative, in step nesting designs the number of treatments is the sum of the factor levels. Thus these models lead to a great economy and it is easy to carry out inference. To study the algebraic structure of step nesting designs we introduce the cartesian product of commutative Jordan algebras.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2010, 30, 2; 221-235
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Canonic inference and commutative orthogonal block structure
Autorzy:: Carvalho, Francisco
Mexia, João
Oliveira, M.
Powiązania:: https://bibliotekanauki.pl/articles/729946.pdf
Data publikacji:: 2008
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: COBS
canonical inference
commutative Jordan algebras
Opis:: It is shown how to define the canonic formulation for orthogonal models associated to commutative Jordan algebras. This canonic formulation is then used to carry out inference. The case of models with commutative orthogonal block structures is stressed out.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2008, 28, 2; 171-181
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: ANOVA using commutative Jordan algebras, an application
Autorzy:: Rodrigues, Paulo
Mexia, João
Powiązania:: https://bibliotekanauki.pl/articles/729984.pdf
Data publikacji:: 2006
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: commutative Jordan algebras
variance components
orthogonal models
ANOVA
Opis:: Binary operations on commutative Jordan algebras are used to carry out the ANOVA of a two layer model. The treatments in the first layer nests those in the second layer, that being a sub-model for each treatment in the first layer. We present an application with data retried from agricultural experiments.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2006, 26, 2; 179-191
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Joint estimation for normal orthogonal mixed models
Autorzy:: de Jesus, Vera
Ferreira, Sandra
Mexia, João
Powiązania:: https://bibliotekanauki.pl/articles/730008.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: normal orthogonal mixed models
commutative Jordan algebras
meta-analysis
Opis:: Commutative Jordan algebras are used to express the structure of mixed orthogonal models and to derive complete sufficient statistics. From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first of single models then of several such models. These models may correspond to experiments designed separately so our results may be seen as a contribution to this meta-analysis.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 5-13
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 5.

Tytuł:: Inference for random effects in prime basis factorials using commutative Jordan algebras
Autorzy:: Jesus, Vera
Rodrigues, Paulo
Mexia, João
Powiązania:: https://bibliotekanauki.pl/articles/730010.pdf
Data publikacji:: 2007
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: prime basis factorial
commutative Jordan algebras
complete sufficient statistics
UMVUE
confidence regions
Opis:: Commutative Jordan algebras are used to drive an highly tractable framework for balanced factorial designs with a prime number p of levels for their factors. Both fixed effects and random effects models are treated. Sufficient complete statistics are obtained and used to derive UMVUE for the relevant parameters. Confidence regions are obtained and it is shown how to use duality for hypothesis testing.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2007, 27, 1-2; 15-25
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 6.

Tytuł:: Algebraic structure for the crossing of balanced and stair nested designs
Autorzy:: Fernandes, Célia
Ramos, Paulo
Mexia, João
Powiązania:: https://bibliotekanauki.pl/articles/729814.pdf
Data publikacji:: 2014
Wydawca:: Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:: balanced nested designs
stair nested designs
crossing
commutative Jordan algebras
variance components
inference
Opis:: Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.
Źródło:: Discussiones Mathematicae Probability and Statistics; 2014, 34, 1-2; 71-88
1509-9423
Pojawia się w:: Discussiones Mathematicae Probability and Statistics
Dostawca treści:: Biblioteka Nauki

Artykuł

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