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Article Dans Une Revue Communications in Statistics - Theory and Methods Année : 2006

Interval partitioning arising from size-biased picking

Résumé

We consider the following fragmentation model of the unit interval $\QTR{Bbb}{I}$: we start fragmenting $\QTR{Bbb}{I}$ into two pieces with uniform random sizes. One of these two sub-intervals is then chosen at random according to a $\beta -$ size-biased picking procedure, $\beta \in \QTR{Bbb}{R}.$ This particular tagged fragment is next broken into two random pieces, one of which is chosen accordingly at random for further splitting; the process is then iterated independently. This model constitutes a recursive $\beta -$partitioning procedure where splitting occurs only at one of the two fragments which were formed in the previous step of fragmentation. We investigate some statistical features of this model.
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Dates et versions

hal-00093045 , version 1 (12-09-2006)

Identifiants

  • HAL Id : hal-00093045 , version 1

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Thierry Huillet, Mohamed Ali Ghorbel. Interval partitioning arising from size-biased picking. Communications in Statistics - Theory and Methods, 2006, 35 no 5, pp.1173-1187. ⟨hal-00093045⟩
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