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A simple interpretation of two stochastic processes subject to an independent death process

Gani, Joseph; Swift, R.J.

Description

In this explanatory note, we interpret two known results for a death process and a birth process subject to an independent death process. The first example is the carrier-borne epidemic, while the second is the polymerisation chain reaction. The interpretations allow a more intuitive understanding of the resulting formulae for the probability generating functions of the processes.

dc.contributor.authorGani, Joseph
dc.contributor.authorSwift, R.J.
dc.date.accessioned2015-12-08T22:09:17Z
dc.identifier.issn1607-2510
dc.identifier.urihttp://hdl.handle.net/1885/28965
dc.description.abstractIn this explanatory note, we interpret two known results for a death process and a birth process subject to an independent death process. The first example is the carrier-borne epidemic, while the second is the polymerisation chain reaction. The interpretations allow a more intuitive understanding of the resulting formulae for the probability generating functions of the processes.
dc.publisherTsinghua University
dc.sourceApplied Mathematics E-Notes
dc.source.urihttp://www.math.nthu.edu.tw/~amen/
dc.titleA simple interpretation of two stochastic processes subject to an independent death process
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume9
dc.date.issued2009
local.identifier.absfor010406 - Stochastic Analysis and Modelling
local.identifier.ariespublicationu9209279xPUB61
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.startpage89
local.bibliographicCitation.lastpage94
dc.date.updated2015-12-08T07:23:47Z
local.identifier.scopusID2-s2.0-67649497378
CollectionsANU Research Publications

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