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Strictly associated models, prime basis factorials: an application

100%

Carvalho F.

Discussiones Mathematicae Probability and Statistics

2011

tom 31

nr 1-2

77-86

Mixed models will be considered using the Commutative Jordan Algebra of Symmetric matrices approach. Prime basis factorial models will now be considered in the framework provided by Commutative Jordan Algebra of Symmetric matrices. This will enable to obtain fractional replicates when the number of levels is neither a prime or a power of a prime. We present an application to the effect of lidocaine, at an enzymatic level, on the heart muscle of beagle dogs

Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models

51%

Areia A., Carvalho F., Mexia J. T.

Open Mathematics

2015

tom 13

nr 1

We will discuss orthogonal models and error orthogonal models and their algebraic structure, using as background, commutative Jordan algebras. The role of perfect families of symmetric matrices will be emphasized, since they will play an important part in the construction of the estimators for the relevant parameters. Perfect families of symmetric matrices form a basis for the commutative Jordan algebra they generate. When normality is assumed, these perfect families of symmetric matrices will ensure that the models have complete and sufficient statistics. This will lead to uniformly minimum variance unbiased estimators for the relevant parameters.

Ograniczanie wyników

1 Discussiones Mathematicae Probability and Statistics

1 Open Mathematics

2 Carvalho F.

1 Areia A.

1 Mexia J. T.

1 2015

1 2011

Wyniki wyszukiwania

Strictly associated models, prime basis factorials: an application

Complete and sufficient statistics and perfect families in orthogonal and error orthogonal normal models