Bayesian Factor Model Shrinkage for Linear IV Regression With Many Instruments

P. Richard Hahn, Jingyu He, Hedibert Lopes

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


A Bayesian approach for the many instruments problem in linear instrumental variable models is presented. The new approach has two components. First, a slice sampler is developed, which leverages a decomposition of the likelihood function that is a Bayesian analogue to two-stage least squares. The new sampler permits nonconjugate shrinkage priors to be implemented easily and efficiently. The new computational approach permits a Bayesian analysis of problems that were previously infeasible due to computational demands that scaled poorly in the number of regressors. Second, a new predictor-dependent shrinkage prior is developed specifically for the many instruments setting. The prior is constructed based on a factor model decomposition of the matrix of observed instruments, allowing many instruments to be incorporated into the analysis in a robust way. Features of the new method are illustrated via a simulation study and three empirical examples.

Original languageEnglish (US)
Pages (from-to)278-287
Number of pages10
JournalJournal of Business and Economic Statistics
Issue number2
StatePublished - Apr 3 2018
Externally publishedYes


  • Bayesian econometrics
  • Horseshoe prior
  • Instrumental variables
  • Slice sampler

ASJC Scopus subject areas

  • Statistics and Probability
  • Social Sciences (miscellaneous)
  • Economics and Econometrics
  • Statistics, Probability and Uncertainty


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