Geodesic
A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 6, pp. 148-151

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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.
Keywords: Random polytope, $f$-vector, variance. 
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     author = {A. Magazinov},
     title = {A {Uniform} {Asymptotical} {Upper} {Bound} for the {Variance} of a {Random} {Polytope} in a {Simple} {Polytope}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {148--151},
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     url = {http://geodesic.mathdoc.fr/item/MAIS_2012_19_6_a13/}
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A. Magazinov. A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope. Modelirovanie i analiz informacionnyh sistem, Tome 19 (2012) no. 6, pp. 148-151. http://geodesic.mathdoc.fr/item/MAIS_2012_19_6_a13/