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 limit theorem for the fluctuation of this process.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 835–843, June, 2013.
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Khusanbaev, Y.M. On the Asymptotic Behavior of a Subcritical Branching Process with Immigration. Ukr Math J 65, 928–937 (2013). https://doi.org/10.1007/s11253-013-0829-z
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DOI: https://doi.org/10.1007/s11253-013-0829-z