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	Small value probabilities for continuous state branching processes with immigration
	Chu WeiJuan ; Li WenBo, V ; Ren YanXia
	2012
关键词	continuous state branching process small value probability immigration GALTON-WATSON PROCESSES CONTINUOUS TIME
英文摘要	We consider the small value probability of supercritical continuous state branching processes with immigration. From Pinsky (1972) it is known that under regularity condition on the branching mechanism and immigration mechanism, the normalized population size converges to a non-degenerate finite and positive limit W as t tends to infinity. We provide sharp estimate on asymptotic behavior of P(W <= epsilon) as epsilon -> 0(+) by studying the Laplace transform of W. Without immigration, we also give a simpler proof for the small value probability in the non-subordinator case via the prolific backbone decomposition.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 11; 2259-2271; 55
语种	英语
出处	SCI
出版者	science china mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/230530]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chu WeiJuan,Li WenBo, V,Ren YanXia. Small value probabilities for continuous state branching processes with immigration. 2012-01-01.

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