Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-21T22:29:19.836Z Has data issue: false hasContentIssue false
  • English
  • Français

On the parity of individuals in a branching process

Published online by Cambridge University Press:  14 July 2016

J. Gani  and
I. W. Saunders
J. Gani
Affiliation:
C.S.I.R.O. Division of Mathematics and Statistics, Canberra
I. W. Saunders
Affiliation:
C.S.I.R.O. Division of Mathematics and Statistics, Canberra
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is concerned with the parity of a population of yeast cells, each of which may bud, not bud or die. Two multitype models are considered: a Galton-Watson process in discrete time, and its analogous birth-death process in continuous time. The mean number of cells with parity 0, 1, 2, … is obtained in both cases; some simple results are also derived for the second moments of the two processes.

Keywords

YEAST CELLSPARITYMULTITYPE GALTON-WATSON PROCESSMULTITYPE BIRTH-DEATH PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 2 , June 1976 , pp. 219 - 230
Copyright
Copyright © Applied Probability Trust 1976 

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

Harris, T. E. (1963) The Theory of Branching Processes. Springer-Verlag, Berlin.Google Scholar
Pollard, J. H. (1975) Modelling human populations for projection purposes — some of the problems and challenges. Austral. J. Statist. 17, 63–76.CrossRefGoogle Scholar
Saunders, I. W. (1976) A convergence theorem for parities in a birth and death process. J. Appl. Prob. 13, 231–238.Google Scholar