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Concentration of random polytopes around the expected convex hull

   
@article{ECP3376,
	author = {Daniel Fresen and Richard Vitale},
	title = {Concentration of random polytopes around the expected convex hull},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {random polytope; law of large numbers; log-concave; expected convex hull; floating body},
	abstract = {We provide a streamlined proof and improved estimates for the weak multivariate Gnedenko law of large numbers on concentration of random polytopes within the space of convex bodies (in a fixed or a high dimensional setting), as well as a corresponding strong law of large numbers.},
	pages = {no. 59, 1-8},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3376},    
        url = {http://ecp.ejpecp.org/article/view/3376}}