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On the distribution of inanimate marks over a linear birth-and-death process

Published online by Cambridge University Press:  14 July 2016

Byron J. T. Morgan
Byron J. T. Morgan*
Affiliation:
University of Kent
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Abstract

A detailed probabilistic treatment is given of a birth-and-death process proposed by Williams (1969) in which the elements of the process bear up to s inanimate marks. Equations for the second-order moments of the process, and approximate marginal univariate solutions, are derived. The exact bivariate solution is given for the case s = 1. For general s the variance of the mark population is also derived.

Keywords

MARKED BIRTH-AND-DEATH PROCESSMULTIVARIATE LAGRANGE DIFFERENTIAL EQUATIONSMULTITYPE BRANCHING PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 3 , September 1974 , pp. 423 - 436
Copyright
Copyright © Applied Probability Trust 1974 

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References

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