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On random splitting of the interval.

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Publication:1427711
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DOI10.1016/j.spl.2003.10.015zbMath1102.60046OpenAlexW2013367437MaRDI QIDQ1427711

Javiera Barrera, Thierry E. Huillet

Publication date: 14 March 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.10.015

zbMATH Keywords

RankingPartition structureRandom splitting of the intervalSize-biased samplingStick breaking


Mathematics Subject Classification ID

Approximations to statistical distributions (nonasymptotic) (62E17) Random measures (60G57)


Related Items

Probabilistic analysis of maximal gap and total accumulated length in interval division



Cites Work

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  • Partition structures, Polya urns, the Ewens sampling formula, and the ages of alleles
  • The two-parameter Poisson-Dirichlet distribution derived from a stable subordinator
  • Use of moments in studies of limit distributions arising from iterated random subdivisions of an interval
  • Ordered and unordered random partitions of an integer and the GEM distribution
  • Poisson–Dirichlet and GEM Invariant Distributions for Split-and-Merge Transformations of an Interval Partition
  • Random discrete distributions invariant under size-biased permutation
  • Ordered sample from two-parameter GEM distribution
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