Abstract
AbstractLet be a convex body in in which a ball rolls freely and which slides freely in a ball. Let be the intersection of i.i.d. random half‐spaces containing chosen according to a certain prescribed probability distribution. We prove an asymptotic upper bound on the variance of the mean width of as . We achieve this result by first proving an asymptotic upper bound on the variance of the weighted volume of random polytopes generated by i.i.d. random points selected according to certain probability distributions, then, using polarity, we transfer this to the circumscribed model.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
