You are welcome to attend the following Statistics and Stochastic colloquium (part of the Colloquium Series of the Department of Mathematics and Statistics) at La Trobe University.
Title: Statistical Inference for Implicit Models using Bayesian Synthetic Likelihood
Speaker: Professor Christopher Drovandi (QUT)
Time & Date: 12:00 noon, Thursday 9 September 2021
Venue: Zoom meeting, details below
Implicit models are defined as those that can be simulated but the associated likelihood function is intractable. Such models are prevalent in many fields such as biology, ecology, cosmology and epidemiology. Given the unavailability of the likelihood function, statistical inference for implicit models is challenging as we must rely only on the ability to generate mock datasets from the model of interest, and compare it with the observed data in some way. This talk will explain a useful method called Bayesian synthetic likelihood for conducting such statistical inference. I will discuss how BSL can be extended to reduce the number of model simulations required and to make it more robust to model misspecification. I will also describe some theoretical properties of the method.