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Asymptotic results for estimators in a subcritical branching process with immigration. (English) Zbl 0349.60085

Summary: It is shown that certain estimators of the offspring and immigration means in a subcritical simple branching process with immigration are strongly consistent and obey the central limit theorem and law of the iterated logarithm under natural conditions.

MSC:

60J80 Branching processes (Galton-Watson, birth-and-death, etc.)
62M05 Markov processes: estimation; hidden Markov models
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