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Random partitioning models arising from size-biased picking

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  • M. Ghorbel

    (Université de Sfax
    Université de Paris 13)

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.

Suggested Citation

  • M. Ghorbel, 2011. "Random partitioning models arising from size-biased picking," Indian Journal of Pure and Applied Mathematics, Springer, vol. 42(6), pages 443-473, December.
    • Handle: RePEc:spr:indpam:v:42:y:2011:i:6:d:10.1007_s13226-011-0028-2
    DOI: 10.1007/s13226-011-0028-2
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    References listed on IDEAS

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    1. Ishwaran H. & James L. F, 2001. "Gibbs Sampling Methods for Stick Breaking Priors," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 161-173, March.
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