Khusanbaev Ya. M.
Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 835–843
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.
Ukr. Mat. Zh. - 2009. - 61, № 1. - pp. 127-133
We study almost critical branching processes with infinitely increasing immigration and prove functional limit theorems for these processes.
Ukr. Mat. Zh. - 1984. - 36, № 1. - pp. 126 - 129