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On the Asymptotic Behavior of a Subcritical Branching Process with Immigration

We study a subcritical branching process with inhomogeneous immigration in the case where the mean value and variance of immigration are regularly varying at infinity. We show that a properly normalized subcritical process with immigration weakly approaches a deterministic process and prove the limi...

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Bibliographic Details
Date:	2013
Main Authors:	Khusanbaev, Ya. M., Хусанбаев, Я. М.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2013
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2468
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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