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A note on explosiveness of Markov branching processes

Published online by Cambridge University Press:  01 July 2016

D. R. Grey
D. R. Grey*
Affiliation:
University of Sheffield
*
∗ Postal address: Department of Probability and Statistics, The University, Sheffield S3 7RH, UK.
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Abstract

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It is shown that no condition of the form E[g(N)] =∞, where N denotes a typical family size, is sufficient for explosiveness of a Markov branching process.

Keywords

EXPLOSION CRITERIONMOMENT CONDITION

Information

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 21 , Issue 1 , March 1989, pp. 226 - 228
Copyright
Copyright © Applied Probability Trust 1989 

References

Doney, R. A. (1984) A note on some results of Schuh. J. Appl. Prob. 21, 192–196.CrossRefGoogle Scholar
Grey, D. R. (1978) Three lemmas after Besicovitch and their applications in probability theory. J. London Math. Soc. (2) 18, 173–180.Google Scholar
Harris, T. E. (1963) The Theory of Branching Processes. Springer-Verlag, Berlin.CrossRefGoogle Scholar