Random partitioning models arising from size-biased picking

M. Ghorbel ()
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M. Ghorbel: Université de Sfax

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 6, 443-473

Abstract: 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. For such partition models, several statistical questions are addressed among which: sampling formula from the random partition of I, correlation structure, partition function, weighted partition, Rényi’s, typical and size-biased fragments size.

Keywords: Sampling formula; fragment size distribution; random partitions (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0028-2

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