• Block-Wise Pseudo-Marginal Metropolis-Hastings 

      Tran, M.-N.; Kohn, R.; Quiroz, M.; Villani, M.
      Published 2016-03-30
      The pseudo-marginal Metropolis-Hastings approach is increasingly used for Bayesian inference in statistical models where the likelihood is analytically intractable but can be estimated unbiasedly, such as random effects ...
      Open Access
      Working Paper
    • Fast Inference for Intractable Likelihood Problems using Variational Bayes 

      Gunawan, David; Tran, Minh-Ngoc; Kohn, Robert
      Published 2016-03-30
      Variational Bayes (VB) is a popular statistical method for Bayesian inference. The existing VB algorithms are restricted to cases where the likelihood is tractable, which precludes their use in many interesting models. ...
      Open Access
      Working Paper
    • A New Measure of Vector Dependence, with an Application to Financial Contagion 

      Medovikov, Ivan; Prokhorov, Artem
      Published 2016-03-11
      We propose a new nonparametric measure of association between an arbitrary number of random vectors. The measure is based on the empirical copula process for the multivariate marginals, corresponding to the vectors, and ...
      Open Access
      Working Paper
    • Exact ABC using Importance Sampling 

      Tran, Minh-Ngoc; Kohn, Robert
      Published 2015-09-23
      Approximate Bayesian Computation (ABC) is a powerful method for carrying out Bayesian inference when the likelihood is computationally intractable. However, a draw- back of ABC is that it is an approximate method that ...
      Open Access
      Working Paper
    • GEL Estimation for Heavy-Tailed GARCH Models with Robust Empirical Likelihood Inference 

      Hill, Jonathan B.; Prokhorov, Artem
      Published 2015-09-11
      We construct a Generalized Empirical Likelihood estimator for a GARCH(1,1) model with a possibly heavy tailed error. The estimator imbeds tail-trimmed estimating equations allowing for over-identifying conditions, asymptotic ...
      Open Access
      Working Paper