Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    6 1 0 0

Comptes Rendus Mathématique
Volume 352, n° 11
pages 935-940 (novembre 2014)
Doi : 10.1016/j.crma.2014.08.015
Received : 23 April 2014 ;  accepted : 26 August 2014
Probabilities of hitting a convex hull
Probabilités d'atteinte d'une enveloppe convexe

Zhenxia Liu a , Xiangfeng Yang b
a Blåeldsvägen 12B, Sturefors, Sweden 
b Department of Mathematics, Linköping University, SE-581 83 Linköping, Sweden 


In this note, we consider the non-negative least-square method with a random matrix. This problem has connections with the probability that the origin is not in the convex hull of many random points. As related problems, suitable estimates are obtained as well on the probability that a small ball does not hit the convex hull.

The full text of this article is available in PDF format.

Dans cette Note, nous appliquons la méthode des moindres carrés non négatifs d'une matrice aléatoire. Ce problème est connecté à la probabilité que l'enveloppe convexe de points aléatoires ne contienne pas l'origine. En relation avec ce problème, nous obtenons aussi des estimations de la probabilité qu'une petite boule ne rencontre pas une enveloppe convexe.

The full text of this article is available in PDF format.

© 2014  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline