Cycles, permutations and the structure of the yule process with immigration
A novel representation of the linear birth process with immigration is analysed. The state space of the process is the collection of permutations of the integers, written in a particular cyclic form. The stochastic structure of the model is particularly simple to describe. The results serve to explain the combinatorial structure of some sampling formulae that arise in the study of neutral mutations in population genetics.
Year of publication: |
1987
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Authors: | Joyce, Paul ; Tavaré, Simon |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 25.1987, p. 309-314
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Publisher: |
Elsevier |
Subject: | linear birth process Yule process |
Saved in:
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