A Branching Process with Immigration in Varying Environments

Kosto V. Mitov and Edward Omey

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 24, 5211-5225

Abstract: Bienaymé–Galton–Watson branching processes with varying offspring variance and an immigration component are studied in the critical case. The asymptotic formulas for the probability for non extinction are derived, in dependence of immigration component. A limit theorem is proved too.

Date: 2014
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DOI: 10.1080/03610926.2012.718845

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