Cycles, permutations and the structure of the yule process with immigration

Paul Joyce and Simon Tavaré

Stochastic Processes and their Applications, 1987, vol. 25, 309-314

Abstract: 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.

Keywords: linear; birth; process; Yule; process (search for similar items in EconPapers)
Date: 1987
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Citations: View citations in EconPapers (2)

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