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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
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.
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- Copyright © Applied Probability Trust 1974
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