scholarly journals A Generalized Central Limit Conjecture for Convex Bodies

2020 ◽  
pp. 1-41
Author(s):  
Haotian Jiang ◽  
Yin Tat Lee ◽  
Santosh S. Vempala
Keyword(s):  
Central Limit ◽  
Convex Bodies

scholarly journals Erratum to “The central limit problem for convex bodies”

2003 ◽  
Vol 356 (5) ◽  
pp. 2137-2137
Author(s):  
Milla Anttila ◽  
Keith Ball ◽  
Irini Perissinaki
Keyword(s):  
Central Limit ◽  
Convex Bodies ◽  
Limit Problem ◽  
Central Limit Problem

scholarly journals The central limit problem for convex bodies

2003 ◽  
Vol 355 (12) ◽  
pp. 4723-4735 ◽  
Author(s):  
Milla Anttila ◽  
Keith Ball ◽  
Irini Perissinaki
Keyword(s):  
Central Limit ◽  
Convex Bodies ◽  
Limit Problem ◽  
Central Limit Problem

scholarly journals Random Inscribing Polytopes

2005 ◽  
Vol DMTCS Proceedings vol. AE,... (Proceedings) ◽  
Author(s):  
Ross M. Richardson ◽  
Van H. Vu ◽  
Lei Wu
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Poisson Process ◽  
Central Limit ◽  
Convex Bodies ◽  
Higher Moments ◽  
Random Polytopes ◽  
International Audience

International audience For convex bodies $K$ with $\mathcal{C}^2$ boundary in $\mathbb{R}^d$, we provide results on the volume of random polytopes with vertices chosen along the boundary of $K$ which we call $\textit{random inscribing polytopes}$. In particular, we prove results concerning the variance and higher moments of the volume, as well as show that the random inscribing polytopes generated by the Poisson process satisfy central limit theorem.

Moment inequalities and central limit properties of isotropic convex bodies

2002 ◽  
Vol 240 (1) ◽  
pp. 37-51 ◽  
Author(s):  
Ulrich Brehm ◽  
Peter Hinow ◽  
Hendrik Vogt ◽  
J�rgen Voigt
Keyword(s):  
Central Limit ◽  
Convex Bodies ◽  
Moment Inequalities
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