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Conference papers

Small parts in the Bernoulli sieve

Abstract : Sampling from a random discrete distribution induced by a 'stick-breaking' process is considered. Under a moment condition, it is shown that the asymptotics of the sequence of occupancy numbers, and of the small-parts counts (singletons, doubletons, etc) can be read off from a limiting model involving a unit Poisson point process and a self-similar renewal process on the half-line.
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Submitted on : Monday, September 7, 2015 - 12:51:11 PM
Last modification on : Tuesday, September 3, 2019 - 12:28:04 PM
Long-term archiving on: : Tuesday, December 8, 2015 - 11:05:15 AM

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Alexander Gnedin, Alex Iksanov, Uwe Roesler. Small parts in the Bernoulli sieve. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.235-242, ⟨10.46298/dmtcs.3567⟩. ⟨hal-01194688⟩

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