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Maximum likelihood estimation for branching processes with immigration
B. R. Bhat, S. R. Adke
Journal:

Advances in Applied Probability / Volume 13 / Issue 3 / September 1981

Published online by Cambridge University Press:

01 July 2016, pp. 498-509

Print publication:

September 1981
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This paper establishes the strong consistency of the maximum likelihood estimators of the parameters of discrete- and continuous-time Markov branching processes with immigration. The asymptotic distributions of the maximum likelihood estimators of the parameters of a Galton–Watson branching process with immigration are also obtained.

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Maximum likelihood estimation for branching processes with immigration