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Activity Number: 62
Type: Topic Contributed
Date/Time: Sunday, July 31, 2016 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract #319199 View Presentation
Title: On the transition function of some time-dependent Dirichlet and gamma processes
Author(s): Antonio Lijoi*
Companies: University of Pavia
Keywords: Bayesian nonparametrics ; Dawson-Watanabe process ; Dirichlet process ; Fleming- Viot process ; gamma random measure

We highlight a Bayesian interpretation of the transition functions of two classes of measure val- ued diffusions widely used in population genetics, given by Fleming-Viot and Dawson-Watanabe models, which describe time evolving random measures in the Dirichlet and gamma families re- spectively. We review some recent results on temporal conjugacy of these classes under certain assumptions on the data collection at discrete times, and discuss their interpretation in terms of dimensionality reduction of the transition function and of the associated forward propagation of the marginal measure of the process.

Authors who are presenting talks have a * after their name.

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