2022 article
Discussion of "Confidence Intervals for Nonparametric Empirical Bayes Analysis" by Ignatiadis and Wager
Ghosal, S. (2022, September 14). JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, Vol. 117, pp. 1171–1174.
I congratulate the authors for a fantastic piece of work about confidence intervals in an inverse problem involving a mixing distribution under an empirical Bayes setup. We can regard the problem as inference on a functional of the distribution of latent variable with the observation coming from a specific parametric family of distributions driven by the latent variable. In mathematical notations, this can be written as