Inference for subvectors and other functions of partially identified parameters in moment inequality models

Federico A. Bugni, Ivan A. Canay, Xiaoxia Shi

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

This paper introduces a bootstrap-based inference method for functions of the parameter vector in a moment (in)equality model. These functions are restricted to be linear for two-sided testing problems, but may be nonlinear for one-sided testing problems. In the most common case, this function selects a subvector of the parameter, such as a single component. The new inference method we propose controls asymptotic size uniformly over a large class of data distributions and improves upon the two existing methods 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.

Original languageEnglish (US)
Pages (from-to)1-38
Number of pages38
JournalQuantitative Economics
Volume8
Issue number1
DOIs
StatePublished - Mar 1 2017

Keywords

  • Partial identification
  • hypothesis testing
  • moment inequalities
  • subvector inference

ASJC Scopus subject areas

  • Economics and Econometrics

Fingerprint Dive into the research topics of 'Inference for subvectors and other functions of partially identified parameters in moment inequality models'. Together they form a unique fingerprint.

  • Cite this