Recursive partition structures

• Alexander V. Gnedin ^[1] ; Yuri Yakubovich ^[1]
  1. [1] Utrecht University

     Utrecht University

     Países Bajos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 34, Nº. 6, 2006, págs. 2203-2218
• Idioma: inglés
• DOI: 10.1214/009117906000000584
• Texto completo no disponible (Saber más ...)
• Resumen

  • A class of random discrete distributions P is introduced by means of a recursive splitting of unity. Assuming supercritical branching, we show that for partitions induced by sampling from such P a power growth of the number of blocks is typical. Some known and some new partition structures appear when P is induced by a Dirichlet splitting.