1 code implementation • 5 Jun 2019 • Christopher Drovandi, Richard G. Everitt, Andrew Golightly, Dennis Prangle
Particle Markov chain Monte Carlo (pMCMC) is now a popular method for performing Bayesian statistical inference on challenging state space models (SSMs) with unknown static parameters.
Computation Methodology
no code implementations • 15 Nov 2017 • Richard G. Everitt
The main idea in ABC and SL is to, for different values of $\theta$ (usually chosen using a Monte Carlo algorithm), build estimates of the likelihood based on simulations from the model conditional on $\theta$.
no code implementations • 12 Oct 2017 • Richard G. Everitt, Dennis Prangle, Philip Maybank, Mark Bell
Bayesian inference for models that have an intractable partition function is known as a doubly intractable problem, where standard Monte Carlo methods are not applicable.
no code implementations • 7 Aug 2017 • Richard G. Everitt, Paulina A. Rowińska
Approximate Bayesian computation (ABC) is now an established technique for statistical inference used in cases where the likelihood function is computationally expensive or not available.
no code implementations • 27 Apr 2016 • Dennis Prangle, Richard G. Everitt
We show that the auxiliary variable method (M{\o}ller et al., 2006; Murray et al., 2006) for inference of Markov random fields can be viewed as an approximate Bayesian computation method for likelihood estimation.
no code implementations • 1 Apr 2015 • Richard G. Everitt, Adam M. Johansen, Ellen Rowing, Melina Evdemon-Hogan
Models for which the likelihood function can be evaluated only up to a parameter-dependent unknown normalising constant, such as Markov random field models, are used widely in computer science, statistical physics, spatial statistics, and network analysis.