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Asymptotic laws for compositions derived from transformed subordinators

Asymptotic laws for compositions derived from transformed subordinators

A random composition of n appears when the points of a random closed set ℛ̃⊂[0,1] are used to separate into blocks n points sampled from the uniform distribution. We study the number of parts Kn of this composition and other related functionals under the assumption that ℛ̃=ϕ(S•), where (St,t≥0) is …