Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein’s method from probability theory.
Thale, C., Turchi, N., Wespi, F. (2018). Random polytopes: Central limit theorems for intrinsic volumes. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 146(7), 3063-3071 [10.1090/proc/14000].
Random polytopes: Central limit theorems for intrinsic volumes
Turchi N.;
2018
Abstract
Short and transparent proofs of central limit theorems for intrinsic volumes of random polytopes in smooth convex bodies are presented. They combine different tools such as estimates for floating bodies with Stein’s method from probability theory.
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