Article contents
Asymptotic properties of subcritical Galton-Watson processes
Published online by Cambridge University Press: 14 July 2016
Abstract
Results connecting Yaglom's limit and Z1 are obtained. For example, if α > 1, E[Zα1] and converge or diverge together.
Keywords
- Type
- Research Papers
- Information
- Copyright
- Copyright © Applied Probability Trust 1982
References
[1]
Bingham, N. H. and Doney, R. A. (1974) Asymptotic properties of supercritical branching processes. I: The Galton–Watson process. Adv. Appl. Prob.
6, 711–731.Google Scholar
[2]
De Meyer, A. (1982) On a theorem of Bingham and Doney. J. Appl. Prob.
19, 217–220.Google Scholar
[3]
De Meyer, A. and Teugels, J. L. (1980) On the asymptotic behaviour of the distributions of the busy period and service time in M/G/1. J. Appl. Prob.
17, 802–813.Google Scholar
[4]
Evans, L. S. (1978) An upper bound for the mean of Yaglom's limit. J. Appl. Prob.
15, 199–201.Google Scholar
[5]
Feller, W. (1971) An Introduction to Probability Theory and its Applications, Vol. II, 2nd edn. Wiley, New York.Google Scholar
[6]
Jagers, P. (1975) Branching Processes with Biological Applications.
Wiley, New York.Google Scholar
[7]
Yaglom, A. M. (1947) Certain limit theorems of the theory of branching random processes (in Russian). Soviet Math. Dokl.
56, 795–798.Google Scholar
- 5
- Cited by