On Gaussian Process Priors in Conditional Moment Restriction Models

Autor: Kankanala, Sid
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: This paper studies quasi Bayesian estimation and uncertainty quantification for an unknown function that is identified by a nonparametric conditional moment restriction. We derive contraction rates for a class of Gaussian process priors. Furthermore, we provide conditions under which a Bernstein von Mises theorem holds for the quasi-posterior distribution. As a consequence, we show that optimally weighted quasi-Bayes credible sets have exact asymptotic frequentist coverage.
Comment: 62 pages
Databáze: arXiv