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math.PR2023
Mean distance in polyhedra
Dominik Beck
Given any polyhedron from which we select two random points uniformly and independently, we show that all the moments of the distance between those points can be always written in…
math.PR2023
Efron's Mean Volume Formula in Higher Dimensions
Dominik Beck
In this short paper, an older Efron's result is extended to obtain a cutting plane integral formula for the mean volume of a random simplex in any d dimensions.
math.PR2022
On the fourth moment of a random determinant
Dominik Beck
In this paper, we generalise the formula for the fourth moment of a random determinant to account for entries with asymmetric distribution. We also derive the second moment of a ra…