Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-06T00:20:55.401Z Has data issue: false hasContentIssue false
  • English
  • Français

On age dependent branching processes

Published online by Cambridge University Press:  14 July 2016

Howard Weiner
Howard Weiner*
Affiliation:
University of California, Davis
Get access Rights & Permissions [Opens in a new window]

Extract

This paper deals with asymptotic properties of various models of age dependent branching processes, relying heavily on Harris [3].

Type
Research Papers
Information
Journal of Applied Probability , Volume 3 , Issue 2 , December 1966 , pp. 383 - 402
Copyright
Copyright © Applied Probability Trust 

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

[1] Bellman, R. and Cooke, K. L. (1963) Differential-Difference Equations. Academic Press, New York.Google Scholar
[2] Chung, K. L. (1960) Markov Chains with Stationary Transition Probabilities. Springer, Berlin.Google Scholar
[3] Harris, T. E. (1963) The Theory of Branching Processes. Springer, Berlin, and Prentice Hall, New Jersey.Google Scholar
[4] Kendall, D. G. (1948) On a generalized ‘birth-and-death’ process. Ann. Math. Statist. 19, 1–15.CrossRefGoogle Scholar
[5] Kendall, D. G. (1952) Les processus stochastiques de croissance en biologie. Ann. Inst. Poincaré, 13, 43–108.Google Scholar
[6] Kendall, D. G. (1949) Stochastic processes and population growth. J. R. Statist. Soc. B, 11, 230–264.Google Scholar
[7] Smith, W. L. (1955) Regenerative stochastic processes. Proc. R. Statist. Soc. A. 232, 6–31.Google Scholar
[8] Snow, R. N. (1959) N-dimensional age dependent branching processes—asymptotic behavior, irreducible case. Amer. Math. Soc. Notices 6, No. 6, 616–617 (abstract).Google Scholar
[9] Stohlman, F. Jr., (ed) (1959) The Kinetics of Cellular Proliferation. Grune and Stratton, New York.Google Scholar
[10] Weiner, H. J. (1966) Applications of the age distribution in age dependent branching processes. J. Appl. Prob. 3, 179–201.Google Scholar
[11] Weiner, H. J. (1966) Asymptotic properties of an age dependent branching process. Ann. Math. Statist. (to appear).Google Scholar
[12] Widder, D. V. (1946) The Laplace Transform. Princeton University Press, Princeton.Google Scholar