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Multidimensional age-dependent branching processes allowing immigration: The limiting distribution

Published online by Cambridge University Press:  14 July 2016

Norman Kaplan
Norman Kaplan*
Affiliation:
University of California, Berkeley
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Abstract

This paper continues the author's study of age-dependent branching processes allowing immigration. In this paper the multidimensional case is considered. A sufficient condition is obtained for the existence of a legitimate limiting distribution. Several corollaries are obtained, which generalize many of the results of the discrete theory and those of the one-dimensional continuous time model.

Keywords

MULTITYPE BRANCHING PROCESSES WITH IMMIGRATIONRENEWAL THEOREMLIMITING DISTRIBUTION

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 2 , June 1974 , pp. 225 - 236
Copyright
Copyright © Applied Probability Trust 1974 

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References

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