title: Probability of random vector hitting in a polyhedral frustum of a cone: Majorization aspect
metadata.name: dc.contributor.author
metadata.value: Revyakov, Mikhail I.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-05-30T15:37:53Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-05-30T15:37:53Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Revyakov M. I. Probability of random vector hitting in a polyhedral frustum of a cone: Majorization aspect. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, vol. 11 (69), issue 1, pp. 131–140. https://doi.org/10.21638/spbu01.2024.108 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2024.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/45455
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 oblate (from above) cone, in particular, into frustum
  of a cone is a Schur-concave function of the vector corresponding this linear combination.
  It is required that the oblate cone is convex, it 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. In addition, the characterization was obtained in differential form
  functions that preserve one known pre-order, which is inside the majorization pre-order.
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 11 (69); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: frustum of a cone
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: G-majorization
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: preorder within majorization
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Probability of random vector hitting in a polyhedral frustum of a cone: Majorization aspect
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 131-140.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/45455/1/131-140.pdf
resources.format: Adobe PDF
resources.size: 331,82 kB