Multitype linear fractional branching processes
Copyright policy )Multitype linear fractional branching processes
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.
- University of Montreal Canada
- Paul Sabatier University France
Positive matrices and their generalizations; cones of matrices, generating function, Branching processes (Galton-Watson, birth-and-death, etc.), multitype branching process, fractional linear birth law
Positive matrices and their generalizations; cones of matrices, generating function, Branching processes (Galton-Watson, birth-and-death, etc.), multitype branching process, fractional linear birth law
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!