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Inference in Kingman's Coalescent with Particle Markov Chain Monte Carlo Method
Inference Kingman's Coalescent with Particle Markov Chain Monte Carlo Method
2013/6/13
We propose a new algorithm to do posterior sampling of Kingman's coalescent, based upon the Particle Markov Chain Monte Carlo methodology. Specifically, the algorithm is an instantiation of the Partic...
A Necessary and Sufficient Condition for the Lambda-Coalescent to Come Down from Infinity
coalescent Kochen-StoneLemma
2009/5/4
Let $Pi_{infty}$ be the standard $Lambda$-coalescent of Pitman, which is defined so that $Pi_{infty}(0)$ is the partition of the positive integers into singletons, and, if $Pi_n$ denotes the restricti...