2017
Том 69
№ 6

All Issues

On the Asymptotic Behavior of a Subcritical Branching Process with Immigration

Khusanbaev Ya. M.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 928-937.

Citation Example: Khusanbaev Ya. M. On the Asymptotic Behavior of a Subcritical Branching Process with Immigration // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 835–843.

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