0000000000040751

AUTHOR

Smabss Rg

0000-0001-9944-3861

showing 2 related works from this author

Studying hypertension in ocular fundus images using Hausdorff dispersion ordering.

2010

Retinal arterial and vein diameters are altered in individuals at risk of cardiovascular events mainly due to high blood pressure. The measurement of retinal vessel diameters has been proved to reflect individuals' vascular health. Dispersion of such measures which are obtained by means of ocular fundus images is a major factor not usually considered in clinical research. In this paper, a method to evaluate if different levels of clinically relevant covariables induce greater dispersion in retinal arterial and vein diameters is proposed. A multivariate dispersion ordering, the Hausdorff dispersion order, is used to compare the level of dispersion in such diameters for different groups of pa…

medicine.medical_specialtyFundus OculiGeneral Biochemistry Genetics and Molecular BiologyRetinaVascular healthchemistry.chemical_compoundOphthalmologymedicineImage Processing Computer-AssistedHumansStatistical dispersionVeinGeneral Environmental SciencePharmacologyGeneral Immunology and Microbiologybusiness.industryApplied MathematicsGeneral NeuroscienceRetinal VesselsRetinalGeneral MedicineRetinal vesselBlood pressuremedicine.anatomical_structurechemistryHomogeneousModeling and SimulationHypertensionbusinessMathematical medicine and biology : a journal of the IMA
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The simplex dispersion ordering and its application to the evaluation of human corneal endothelia

2009

A multivariate dispersion ordering based on random simplices is proposed in this paper. Given a R^d-valued random vector, we consider two random simplices determined by the convex hulls of two independent random samples of sizes d+1 of the vector. By means of the stochastic comparison of the Hausdorff distances between such simplices, a multivariate dispersion ordering is introduced. Main properties of the new ordering are studied. Relationships with other dispersion orderings are considered, placing emphasis on the univariate version. Some statistical tests for the new order are proposed. An application of such ordering to the clinical evaluation of human corneal endothelia is provided. Di…

CombinatoricsConvex hullStatistics and ProbabilityNumerical AnalysisHausdorff distanceSimplexMultivariate random variableHausdorff spaceRegular polygonUnivariateStatistical dispersionStatistics Probability and UncertaintyMathematicsJournal of Multivariate Analysis
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