Seminar | April 2 | 4-5 p.m. | 141 McCone Hall
Julia Palacios, Stanford University
In this talk I will present the Tajima coalescent, a model on the ancestral relationships of molecular samples. This model is then used as a prior model on unlabeled genealogies to infer evolutionary parameters with a Bayesian nonparametric method. I will then show that conditionally on observed data and a particular mutation model, the cardinality of the hidden state space of Tajimas genealogies is exponentially smaller than the cardinality of the hidden state space of Kingmans genealogies. We estimate the corresponding cardinalities with sequential importance sampling. Finally, I will propose a new distance on unlabeled genealogies that allows us to compare different distributions on unlabeled genealogies to Tajimas coalescent.