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Bayesian and Frequentist Inference in Partially Identified Models

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  • Hyungsik Roger Moon
  • Frank Schorfheide

Abstract

A large sample approximation of the posterior distribution of partially identified structural parameters is derived for models that can be indexed by a finite-dimensional reduced form parameter vector. It is used to analyze the differences between frequentist confidence sets and Bayesian credible sets in partially identified models. A key difference is that frequentist set estimates extend beyond the boundaries of the identified set (conditional on the estimated reduced form parameter), whereas Bayesian credible sets can asymptotically be located in the interior of the identified set. Our asymptotic approximations are illustrated in the context of simple moment inequality models and a numerical illustration for a two-player entry game is provided.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 14882.

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Date of creation: Apr 2009
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Publication status: published as Hyungsik Roger Moon & Frank Schorfheide, 2012. "Bayesian and Frequentist Inference in Partially Identified Models," Econometrica, Econometric Society, vol. 80(2), pages 755-782, 03.
Handle: RePEc:nbr:nberwo:14882

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Cited by:
  1. repec:bos:wpaper:wp2013-001 is not listed on IDEAS
  2. Kyungchul Song, 2009. "Point Decisions for Interval-Identified Parameters," PIER Working Paper Archive 09-036, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  3. Canova, Fabio & Paustian, Matthias, 2011. "Business cycle measurement with some theory," Journal of Monetary Economics, Elsevier, vol. 58(4), pages 345-361.
  4. Epstein, Larry G. & Seo, Kyoungwon, 2014. "De Finetti meets Ellsberg," Research in Economics, Elsevier, vol. 68(1), pages 11-26.
  5. Liao, Yuan & Simoni, Anna, 2012. "Semi-parametric Bayesian Partially Identified Models based on Support Function," MPRA Paper 43262, University Library of Munich, Germany.
  6. Diaz, Yadira & Pudney, Stephen, 2013. "Measuring poverty persistence with missing data with an application to Peruvian panel data," ISER Working Paper Series 2013-22, Institute for Social and Economic Research.
  7. Shinya Sugawara, 2013. "An Interval Regression Analysis for Tenures of Japanese Elder Care Workers Using Matched Employer-Employee Data," CIRJE F-Series CIRJE-F-887, CIRJE, Faculty of Economics, University of Tokyo.
  8. Shinya Sugawara & Yasuhiro Omori, 2013. "An Econometric Analysis of Insurance Markets with Separate Identification for Moral Hazard and Selection," CIRJE F-Series CIRJE-F-882, CIRJE, Faculty of Economics, University of Tokyo.
  9. Atsushi Inoue & Mototsugu Shintania, 2014. "Quasi-Bayesian Model Selection," Departmental Working Papers 1402, Southern Methodist University, Department of Economics.

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