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Some limit theorems for a subcritical branching process by immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
The strong law of large numbers of the Marcinkiewicz–Zygmund type is established for the total population in a subcritical branching process with immigration. The moment convergence of the total population is obtained under appropriate moment conditions on the offspring distribution and the immigration distribution.
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- Copyright © Applied Probability Trust 1984
Footnotes
Research supported by NSF-MCS-8201723.
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