0000000000822112

AUTHOR

Roman Zmyślony

0000-0001-8029-0578

showing 2 related works from this author

Lattices of Jordan algebras

2010

AbstractCommutative Jordan algebras play a central part in orthogonal models. The generations of these algebras is studied and applied in deriving lattices of such algebras. These lattices constitute the natural framework for deriving new orthogonal models through factor aggregation and disaggregation.

Kronecker productNumerical AnalysisPure mathematicsProjectorsAlgebra and Number TheoryJordan algebraNon-associative algebraBinary operationsLatticeAlgebrasymbols.namesakeBinary operationCommutative Jordan algebraLattice (order)Kronecker matrix productsymbolsDiscrete Mathematics and CombinatoricsGeometry and TopologyNest algebraCommutative algebraCommutative propertyMathematicsLinear Algebra and its Applications
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Inference for the interclass correlation in familial data using small sample asymptotics

2012

Inference on the parent-offspring correlation coefficient is an important problem in the analysis of familial data, and point estimates and likelihood based inference are available in the literature. In this work, corrections for the signed log-likelihood ratio test statistics are proposed, based on small sample asymptotics, in order to achieve accurate small sample performance. The corrected statistic can be used for hypothesis testing as well as for interval estimation.

Correlation coefficientInterclass correlationInterval estimationStatisticsFiducial inferenceInferencePoint estimationStatisticMathematicsStatistical hypothesis testingAIP Conference Proceedings
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