BIRTH AND DEATH PROCESSES AS PROJECTIONS OF HIGHER-DIMENSIONAL POISSON PROCESSES

dc.creatorGARCIA, NL
dc.date1995
dc.dateDEC
dc.date2014-12-16T11:34:52Z
dc.date2015-11-26T17:06:00Z
dc.date2014-12-16T11:34:52Z
dc.date2015-11-26T17:06:00Z
dc.date.accessioned2018-03-28T23:54:25Z
dc.date.available2018-03-28T23:54:25Z
dc.identifierAdvances In Applied Probability. Applied Probability Trust, v. 27, n. 4, n. 911, n. 930, 1995.
dc.identifier0001-8678
dc.identifierWOS:A1995TJ37600002
dc.identifier10.2307/1427928
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/55725
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/55725
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/55725
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1279739
dc.descriptionBirth and death processes can be constructed as projections of higher-dimensional Poisson processes. The existence and uniqueness in the strong sense of the solutions of the time change problem are obtained. It is shown that the solution of the time change problem is equivalent to the solution of the corresponding martingale problem. Moreover, the processes obtained by the projection method are ergodic under translations.
dc.description27
dc.description4
dc.description911
dc.description930
dc.languageen
dc.publisherApplied Probability Trust
dc.publisherSheffield
dc.publisherInglaterra
dc.relationAdvances In Applied Probability
dc.relationAdv. Appl. Probab.
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectPOISSON POINT PROCESS
dc.subjectSPATIAL BIRTH AND DEATH PROCESSES
dc.subjectRANDOM TIME CHANGE
dc.subjectMARTINGALE PROBLEM
dc.subjectSPATIAL ERGODICITY
dc.titleBIRTH AND DEATH PROCESSES AS PROJECTIONS OF HIGHER-DIMENSIONAL POISSON PROCESSES
dc.typeArtículos de revistas


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