A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
https://doi.org/10.18255/1818-1015-2012-6-148-151
Abstract
The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. Thus we verify a weaker version of the result in [1] stated without a proof. The article is published in the author’s wording.
Supporting agencies: the Russian government project, ERC Advanced Research Grant, Imre B´ar´any, R´enyi Mathematical Institute, Budapest
About the Author
A. Magazinov
Steklov Mathematical Institute of RAS;
P.G. Demidov Yaroslavl State University;
Международная лаборатория «Дискретная и вычислительная геометрия» им. Б. Н. Делоне на базе ЯрГУ
Russian Federation
Russian Federation
References
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Review
For citations:
Magazinov A. A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope. Modeling and Analysis of Information Systems. 2012;19(6):148-151. https://doi.org/10.18255/1818-1015-2012-6-148-151
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