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-dimensional convex body
are chosen. Their convex hull is a random simplex. The expected volume of a random simplex is monotone under set inclusion if
implies that the expected volume of a random simplex in
is smaller than the expected volume of a random simplex in
. Continuing work of Rademacher [On the monotonicity of the expected volume of a random simplex. Mathematika58 (2012), 77–91], it is shown that moments of the volume of random simplices are, in general, not monotone under set inclusion.
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