Random partitioning models arising from size-biased picking |
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| Authors: | M. Ghorbel |
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| Affiliation: | 1.Laboratoire de Probabilités et Statistique, Faculté des Sciences de Sfax,Université de Sfax,Sfax,Tunisia;2.Laboratoire d’Analyse, Géométrie et Applications, CNRS-UMR 7539, Institut Galilée,Université de Paris 13,Villetaneuse,France |
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| Abstract: | This work is a continuation of the paper [9], where a particular fragmentation process of a unit interval II, according to a β-size-biased picking procedure (β ∈ ℝ) is investigated. It results from the splitting process, the production of a random countable partition of unity together with another random partitioning of some random quantity Z > 0. |
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