### Generalization of a formula of C. Buchta about the convex hull of random points.

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Problems related to the random approximation of convex bodies fall into the field of integral geometry and geometric probabilities. The aim of this paper is to give a survey of known results about the stochastic model that has received special attention in the literature and that can be described as follows:
Let K be a d-dimensional convex body in Eucliden space R^{d}, d ≥ 2. Denote by H_{n} the convex hull of n independent random points X_{1...
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