The Bernoulli sieve
type: Item
instance of: scholarly article
title: The Bernoulli sieve
zbMATH Open document ID: 1044.60005
author: Alexander Gnedin
published in: Bernoulli
publication date: 2004-06-10T00:00:00Z
review text: This paper investigates a recursive construction of a random composition \(C_n\) of an integer \(n\). This composition can be induced by sampling from a random discrete distribution which has frequencies equal to the sizes of components of a stick-breaking interval partition of [0,1]. The author is interested in the number of parts \(K_n\) of the composition \(C_n\). He derives asymptotics of \(EK_n\) and proves a central limit theorem for \(K_n\).
Mathematics Subject Classification ID: 60C05
zbMATH DE Number: 2072660
zbMATH Keywords: composition
zbMATH Keywords: stick-breaking
zbMATH Keywords: central limit theorem
reviewed by: N. G. Gamkrelidze
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3150/bj/1077544604
OpenAlex ID: W1990871665
DOI: 10.3150/BJ/1077544604
description: scientific article; zbMATH DE number 2072660