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Some generalizations of Bailey's birth death and migration model

Published online by Cambridge University Press:  01 July 2016

A. W. Davis
A. W. Davis*
Affiliation:
C.S.I.R.O., Adelaide
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Abstract

Some results for a general Markov branching-diffusion process are presented, and applied to a model recently considered by Bailey. Moments of the limiting distributions of certain natural measures of the spatial location and dispersion of the population are shown to be expressible in terms of the Lauricella FD-type hypergeometric functions, when the population multiplies according to the simple birth and death process with λ > μ.

Type
Research Article
Information
Advances in Applied Probability , Volume 2 , Issue 1 , Spring 1970 , pp. 83 - 109
Copyright
Copyright © Applied Probability Trust 

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References

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