Inference for functions of partially identified parameters in moment inequality models

Federico A. Bugni, Ivan Canay and Xiaoxia Shi

No 54/15, CeMMAP working papers from Institute for Fiscal Studies

Abstract: This paper introduces a bootstrap-based inference method for functions of the parameter vector in a moment (in)equality model. As a special case, our method yields marginal confidence sets for individual coordinates of this parameter vector. Our inference method controls asymptotic size uniformly over a large class of data distributions. The current literature describes only two other procedures that deliver uniform size control for this type of problem: projection-based and subsampling inference. Relative to projection-based procedures, our method presents three advantages: (i) it weakly dominates in terms of finite sample power, (ii) it strictly dominates in terms of asymptotic power, and (iii) it is typically less computationally demanding. Relative to subsampling, our method presents two advantages: (i) it strictly dominates in terms of asymptotic power (for reasonable choices of subsample size), and (ii) it appears to be less sensitive to the choice of its tuning parameter than subsampling is to the choice of subsample size.

Date: 2015-09-08
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.cemmap.ac.uk/wp-content/uploads/2020/08/CWP5415.pdf (application/pdf)

Related works:
Working Paper: Inference for functions of partially identified parameters in moment inequality models (2015)
Working Paper: Inference for functions of partially identified parameters in moment inequality models (2014)
Working Paper: Inference for functions of partially identified parameters in moment inequality models (2014)
Working Paper: Inference for functions of partially identified parameters in moment inequality models (2014)
Working Paper: Inference for functions of partially identified parameters in moment inequality models (2014)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:azt:cemmap:54/15

DOI: 10.1920/wp.cem.2015.5415

Access Statistics for this paper

More papers in CeMMAP working papers from Institute for Fiscal Studies Contact information at EDIRC.
Bibliographic data for series maintained by Dermot Watson ().