Critical branching processes with infinite variance and increasing immigration (Q1326918)
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scientific article; zbMATH DE number 589637
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical branching processes with infinite variance and increasing immigration |
scientific article; zbMATH DE number 589637 |
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Critical branching processes with infinite variance and increasing immigration (English)
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13 July 1994
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Theorems are stated and proved on the asymptotic behaviour in distribution of the population size for a critical branching process with time-homogeneous family size distribution with regularly varying tail and infinite variance, in which there is time-inhomogeneous immigration with expected number of immigrants in a generation tending to infinity in a regularly varying manner. Universal families of laws emerge from the limiting behaviour.
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convergence in distribution
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critical branching process
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time-homogeneous family size distribution
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regularly varying tail
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infinite variance
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time-inhomogeneous immigration
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