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On invariant measures for simple branching processes

Published online by Cambridge University Press:  14 July 2016

E. Seneta
E. Seneta*
Affiliation:
Imperial College, London
*
1Permanent address : Australian National University, Canberra.
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Extract

This paper was initially motivated by a problem raised earlier by the author (Seneta (1969), Section 5.3) viz. that of the existence and uniqueness of an invariant measure for a supercritical Galton-Watson process with immigration; and, indeed, in the sequel we show that such a measure always exists, but is not in general unique.

Type
Research Papers
Information
Journal of Applied Probability , Volume 8 , Issue 1 , March 1971 , pp. 43 - 51
Copyright
Copyright © Applied Probability Trust 1971 

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Footnotes

Work supported by a Nuffield Travelling Fellowship.

References

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