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On the characteristic functional for a replacement model

Published online by Cambridge University Press:  09 April 2009

A. W. Davis
A. W. Davis
Affiliation:
Australian National University, Canberra.
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J. Gani and G. F. Yeo ([2] and [3]) have recently investigated certain age-distributions associated with a replacement model which serves, in particular, as a model for phage reproduction. In this paper, the characteristic functional for this model will be obtained explicitly.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 4 , Issue 2 , May 1964 , pp. 233 - 243
Copyright
Copyright © Australian Mathematical Society 1964

References

[1]Bartlett, M. S. and Kendall, D. G., On the use of the characteristic functional in the analysis of some stochastic processes occurring in physics and biology, Proc. Camb. Phil. Soc. 47 (1951), 65–76.CrossRefGoogle Scholar
[2]Gani, J. and Yeo, G. F., On the age-distribution of n ranked elements after several replacements, Aust. J. Statist. 4 (1962), 55–60.CrossRefGoogle Scholar
[3]Gani, J., On the age distribution of replaceable ranked elements, to appear.Google Scholar
[4]Smith, W. L., Asymptotic renewal theorems, Proc. Roy. Soc. Edinburgh, Sec. A, 64 (1954), 9–48.Google Scholar