Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-09T13:31:53.212Z Has data issue: false hasContentIssue false
  • English
  • Français

On the asymptotic properties of a supercritical bisexual branching process

Published online by Cambridge University Press:  14 July 2016

J. H. Bagley
J. H. Bagley*
Affiliation:
University of Manchester Institute of Science and Technology
Get access Rights & Permissions [Opens in a new window]

Abstract

An almost sure convergence result for the normed population size of a bisexual population model is proved. Properties of the limit random variable are deduced. The derivation of similar results for a general class of such processes is discussed.

Keywords

GALTON–WATSON PROCESSMARTINGALESUNIFORM INTEGRABILITYALMOST SURE CONVERGENCE
Type
Short Communications
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986 , pp. 820 - 826
Copyright
Copyright © Applied Probability Trust 1986 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.Google Scholar
Baxter, L. A. (1984) Continuum structures I. J. Appl. Prob. 21, 802–815.CrossRefGoogle Scholar
Baxter, L. A. (1986) Continuum structures II. Math. Proc. Camb. Phil. Soc. 99, 331–338.CrossRefGoogle Scholar
Baxter, L. A. and Kim, C. (1986) Modules of continuum structures. In Reliability and Quality Control, ed. Basu, A. P., North-Holland, Amsterdam, 57–68.Google Scholar
Block, H. W. and Savits, T. H. (1984) Continuous multistate structure functions. Operat. Res. 32, 703–714.Google Scholar