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dc.contributor.author
Pinasco, Damian  
dc.contributor.author
Smucler, Ezequiel  
dc.contributor.author
Zalduendo, Ignacio Martin  
dc.date.available
2022-08-18T14:07:08Z  
dc.date.issued
2021-02  
dc.identifier.citation
Pinasco, Damian; Smucler, Ezequiel; Zalduendo, Ignacio Martin; Orthant probabilities and the attainment of maxima on a vertex of a simplex; Elsevier; Linear Algebra and its Applications; 610; 2-2021; 785-803  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/165993  
dc.description.abstract
We calculate bounds for orthant probabilities for the equicorrelated multivariate normal distribution and use these bounds to show the following: for degree k>4, the probability that a k-homogeneous polynomial in n variables attains a local constrained maximum on a vertex of the n-dimensional simplex tends to one as the dimension n grows. The bounds we obtain for the orthant probabilities are tight up to log⁡(n) factors.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
HOMOGENEOUS POLYNOMIAL  
dc.subject
ORTHANT PROBABILITIES  
dc.subject
SIMPLEX  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.subject.classification
Estadística y Probabilidad  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Orthant probabilities and the attainment of maxima on a vertex of a simplex  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-08-16T18:15:59Z  
dc.journal.volume
610  
dc.journal.pagination
785-803  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Pinasco, Damian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella; Argentina  
dc.description.fil
Fil: Smucler, Ezequiel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella; Argentina  
dc.description.fil
Fil: Zalduendo, Ignacio Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella; Argentina  
dc.journal.title
Linear Algebra and its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0024379520304961  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.laa.2020.10.019  

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