Poisson process approximation: From Palm theory to Stein's method

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dc.creatorChen, Louis H. Y.
dc.creatorXia, Aihua
dc.date2007-02-27
dc.date.accessioned2026-07-07T07:49:10Z
dc.date.available2026-07-07T07:49:10Z
dc.descriptionThis exposition explains the basic ideas of Stein's method for Poisson random variable approximation and Poisson process approximation from the point of view of the immigration-death process and Palm theory. The latter approach also enables us to define local dependence of point processes [Chen and Xia (2004)] and use it to study Poisson process approximation for locally dependent point processes and for dependent superposition of point processes.
dc.descriptionPublished at http://dx.doi.org/10.1214/074921706000001076 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/math/0702820
dc.identifierhttp://arxiv.org/abs/math/0702820
dc.identifierIMS Lecture Notes Monograph Series 2006, Vol. 52, 236-244
dc.identifierdoi:10.1214/074921706000001076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124745
dc.subjectProbability
dc.subject60--02 (Primary) 60F05, 60G55 (Secondary)
dc.titlePoisson process approximation: From Palm theory to Stein's method
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