Moments of volumes of lower-dimensional random simplices are not monotone

Author:

Reichenwallner BenjaminORCID

Funder

Paris Lodron University of Salzburg

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference12 articles.

1. Buchta, C., Reitzner, M.: The convex hull of random points in a tetrahedron: solution of Blaschke’s problem and more general results. J. Reine Angew. Math. 536, 1–29 (2001)

2. Grant, M., Boyd, S.: CVX: Matlab Software for Disciplined Convex Programming, version 2.1., http://cvxr.com/cvx (2014)

3. Hug, D.: Random polytopes. In: Spodarev, E. (ed.): Stochastic Geometry, Spatial Statistics and Random Fields. Lecture Notes in Mathematics 2068, pp. 205–238, Springer, Heidelberg (2013)

4. Kunis, S., Reichenwallner, B., Reitzner, M.: Monotonicity of the Sample Range of 3-D Data: Moments of Volumes of Random Tetrahedra. arXiv:1612.01893v1

5. Meckes, M.: Monotonicity of volumes of random simplices. In: Recent Trends in Convex and Discrete Geometry (2006)

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