On the Asymptotic Behavior of a Subcritical Branching Process with Immigration

• Дата: 2013
• Автори: Khusanbaev, Ya. M., Хусанбаев, Я. М.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2468
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...