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On invariant measures for simple branching processes (Summary)

Published online by Cambridge University Press:  17 April 2009

E. Seneta
E. Seneta
Affiliation:
Imperial College, London, and Australian National University, Canberra, ACT.
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Abstract

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Problems pertaining to invariant measures of a non-critical Galton-Watson process, whether with or without Immigration, may be discussed in terms of measures of a subcritical process with a possibly defective immigration distribution. There is in fact only one such measure satisfying a regular variation condition. This result provides a unifying principle for several contexts of Galton-Watson theory. A full discussion with analytical details will appear elsewhere.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 2 , Issue 3 , June 1970 , pp. 359 - 362
Copyright
Copyright © Australian Mathematical Society 1970

References

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