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Backbone decomposition for continuous-state branching processes with immigration
Kyprianou, A. E. ; Ren, Y.X.
2012
关键词Backbone decomposition N-measure Continuous state branching process with immigration
英文摘要In the spirit of Duquesne and Winkel (2007) and Berestycki et al. (2011), we show that supercritical continuous-state branching process with a general branching mechanism and general immigration mechanism is equivalent in law to a continuous-time Galton-Watson process with immigration (with Poissonian dressing). The result also helps to characterise the limiting backbone decomposition which is predictable from the work on consistent growth of Galton-Watson trees with immigration in Cao and Winkel (2010). (C) 2011 Elsevier B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000298204800021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Statistics & Probability; SCI(E); 2; ARTICLE; 1; 139-144; 82
语种英语
出处SCI
出版者statistics probability letters
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/236508]  
专题数学科学学院
推荐引用方式
GB/T 7714
Kyprianou, A. E.,Ren, Y.X.. Backbone decomposition for continuous-state branching processes with immigration. 2012-01-01.
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