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Erschienen in:
1996 | OriginalPaper | Buchkapitel
Multi-Type Age-Dependent Branching Processes with State-Dependent Immigration
verfasst von : Maroussia N. Slavtchova-Bojkova
Erschienen in: Athens Conference on Applied Probability and Time Series Analysis
Verlag: Springer New York
Enthalten in: Professional Book Archive
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This work continues the study of the age-dependent branching processes allowing two types of immigration, i.e. one in the state zero and another one according to the i.i.d. times of an independent ergodic renewal process. The multidimensional case is considered and asymptotic properties and limit theorems are established. These results generalise both the results of the discrete theory and those for the one-dimensional continuous-time model.