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• W2022171458 abstract "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 a subordinator and ϕ:[0,∞]→[0,1] is a diffeomorphism. We derive the asymptotics of Kn when the Lévy measure of the subordinator is regularly varying at 0 with positive index. Specializing to the case of exponential function ϕ(x)=1−e−x, we establish a connection between the asymptotics of Kn and the exponential functional of the subordinator." @default.
• W2022171458 created "2016-06-24" @default.
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• W2022171458 date "2006-03-01" @default.
• W2022171458 modified "2023-09-27" @default.
• W2022171458 title "Asymptotic laws for compositions derived from transformed subordinators" @default.
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• W2022171458 doi "https://doi.org/10.1214/009117905000000639" @default.
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