Fast robustness quantification with variational Bayes
  Bayesian hierarchical models are increasing popular in economics. When using hierarchical models, it is useful not only to calculate posterior expectations, but also to measure the robustness of these expectations to reasonable alternative prior choices. We use variational Bayes and linear response methods to provide fast, accurate posterior means and robustness measures with an application to measuring the effectiveness of microcredit in the developing world. 
Ryan Giordano, Tamara Broderick, Rachael Meager, Jonathan Huggins,   Michael Jordan
stat.ML stat.AP stat.ME