Part-products of 1-free integer compositions
type: Item
instance of: scholarly article
title: Part-products of 1-free integer compositions
zbMATH Open document ID: 1243.05027
author: Caroline Shapcott
published in: The Electronic Journal of Combinatorics
publication date: 2012-03-06T00:00:00Z
full work available at URL: v18i1p235.html
review text: Summary: If \(\vec \lambda \) is a composition of the positive integer \(n\), define \(\mathbf B(\vec \lambda )\) to be the product of the parts of \(\vec \lambda \). We present a modified version of Hitczenko's stopped sequence construction that leads to a proof of the asymptotic lognormality of \(\mathbf B\) for random 1-free compositions (compositions containing no parts of size 1).
Mathematics Subject Classification ID: 05A16
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G40
zbMATH DE Number: 6012339
zbMATH Keywords: Hitczenko's stopped sequence construction
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6012339