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On the asymptotic properties of a supercritical bisexual branching process

  • J. H. Bagley (a1)

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.

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Corresponding author

Postal address: Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, UK.

References

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Barlow, R. E. and Proschan, F. (1975) Statistical Theory of Reliability and Life Testing. Holt, Rinehart and Winston, New York.
Baxter, L. A. (1984) Continuum structures I. J. Appl. Prob. 21, 802815.
Baxter, L. A. (1986) Continuum structures II. Math. Proc. Camb. Phil. Soc. 99, 331338.
Baxter, L. A. and Kim, C. (1986) Modules of continuum structures. In Reliability and Quality Control, ed. Basu, A. P., North-Holland, Amsterdam, 5768.
Block, H. W. and Savits, T. H. (1984) Continuous multistate structure functions. Operat. Res. 32, 703714.

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On the asymptotic properties of a supercritical bisexual branching process

  • J. H. Bagley (a1)

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