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Multitype linear fractional branching processes
Published online by Cambridge University Press: 14 July 2016
Abstract
We complete a paper written by Edward Pollak in 1974 on a multitype branching process the generating functions of whose birth law are fractional linear functions with the same denominator. The main tool is a parameterization of these functions adapted using the mean matrix M and an element w of the first quadrant. We use this opportunity to give a self-contained presentation of Pollak's theory.
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- Research Papers
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- © Applied Probability Trust 2006
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