comments on reflections
I just arXived my comments about A. Ronald Gallant’s “Reflections on the Probability Space Induced by Moment Conditions with Implications for Bayesian Inference”, capitalising on the three posts I wrote around the discussion talk I gave at the 6th French Econometrics conference last year. Nothing new there, except that I may get a response from Ron Gallant as this is submitted as a discussion of his related paper in Journal of Financial Econometrics. While my conclusion is rather negative, I find the issue of setting prior and model based on a limited amount of information of much interest, with obvious links with ABC, empirical likelihood and other approximation methods.
February 9, 2015 at 12:32 am
I’m curious. Do you think that a rigorous version of this sort of construction is possible? I know that a lot of people (David Draper, for example) are hunting for these sort of optimal Bayes specifications, but I’m uncertain about the scope. (For instance, if things are exchangeable, Draper has a very good solution, but outside of that, I’m not sure if there’s enough mathematical structure to do that sort of thing).