We consider a stationary Poisson process X of k-flats in ℝ d with intensity measure Θ and a measurable set S of k-flats depending on F 1 ,..., F n ∈ X, x ∈ ℝ d , and X in a specific equivariant way.
In this work we characterize two independent non-degenerate positive random variables X and Y to be gamma distributed with the same scale parameter by the assumptions ...
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