title: Probability of hitting a random vector in a polyhedral cone: Majorization aspect
metadata.name: dc.contributor.author
metadata.value: Revyakov, Mikhail I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-10-20T16:38:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-10-20T16:38:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2022-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Revyakov M. I. Probability of hitting a random vector in a polyhedral cone: Majorization aspect. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2022, vol. 9 (67), issue 3, pp. 506–516. https://doi.org/10.21638/spbu01.2022.311 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2022.311
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/38308
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article presents conditions under which the probability of a linear combination of
  random vectors falling into a polyhedral cone is a Schur-concave function of the coefficients
  of the combination. It is required that the cone contains the point 0, its edges are parallel
  to the coordinate axes, and the distribution density of vectors is a logarithmically concave
  sign-invariant function.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 9 (67); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: rectangular cone
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: sign-invariant density
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: logarithmic concavity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: G-majorization
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: preorder within majorization
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Probability of hitting a random vector in a polyhedral cone: Majorization aspect
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 506-516.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/38308/1/506-516.pdf
resources.format: Adobe PDF
resources.size: 339,91 kB