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Another view of sequential sampling in the birth process with immigration
Poly H. da Silva, Arash Jamshidpey, Simon Tavaré
Models of counts-of-counts data have been extensively used in the biological sciences, for example in cancer, population genetics, sampling theory and ecology. In this paper we exp…
Markov chains arising from biased random derangements
Poly H. da Silva, Arash Jamshidpey, Simon Tavaré
We explore the cycle types of a class of biased random derangements, described as a random game played by some children labeled . Children join the game one by one, in…
Escape from parsimony of a double-cut-and-join genome evolution process
Mona Meghdari Miardan, Arash Jamshidpey, David Sankoff
We analyze models of genome evolution based on both restricted and unrestricted double-cut-and-join (DCJ) operations. We compare the number of operations along the evolutionary tra…
Random derangements and the Ewens Sampling Formula
Poly H. da Silva, Arash Jamshidpey, Simon Tavaré
We study derangements of under the Ewens distribution with parameter . We give the moments and marginal distributions of the cycle counts, the number of cycle…
An Ergodic Theorem for Fleming-Viot Models in Random Environments
Arash Jamshidpey
The Fleming-Viot (FV) process is a measure-valued diffusion that models the evolution of type frequencies in a countable population which evolves under resampling (genetic drift),…