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Breaking a rod into unit lengths along a given path

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Gani, Joseph; Swift, R.J.

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We consider the probability of the time T until a rod of length L is broken up into unit lengths along a given path, when the permutations of the broken parts are taken into account. The inductive method is shown to work for L = 3,4, 5. This note extends

dc.contributor.authorGani, Joseph
dc.contributor.authorSwift, R.J.
dc.date.accessioned2015-12-07T22:31:27Z
dc.identifier.issn0312-3685
dc.identifier.urihttp://hdl.handle.net/1885/22790
dc.description.abstractWe consider the probability of the time T until a rod of length L is broken up into unit lengths along a given path, when the permutations of the broken parts are taken into account. The inductive method is shown to work for L = 3,4, 5. This note extends
dc.publisherApplied Probability Trust
dc.sourceThe Mathematical Scientist
dc.subjectKeywords: Broken parts; Induction; Inductive method; Single state; Mathematical techniques Induction; Random breakage; Time to final breakage
dc.titleBreaking a rod into unit lengths along a given path
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume37
dc.date.issued2012
local.identifier.absfor010406 - Stochastic Analysis and Modelling
local.identifier.absfor010404 - Probability Theory
local.identifier.ariespublicationu4743872xPUB23
local.type.statusPublished Version
local.contributor.affiliationGani, Joseph, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSwift, R.J., California State Polytechnic University
local.description.embargo2037-12-31
local.bibliographicCitation.startpage72
local.bibliographicCitation.lastpage76
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
dc.date.updated2016-02-24T11:22:42Z
local.identifier.scopusID2-s2.0-84883608149
CollectionsANU Research Publications

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