A Practical Two‐Step Method for Testing Moment Inequalities. Issue 5 (3rd October 2014)

• Record Type: Journal Article
• Authors: Romano, Joseph P.; Shaikh, Azeem M.; Wolf, Michael
• Is Part Of: Econometrica. Volume 82:Issue 5(2014:Sep.)
• Page Start: 1979
• Page End: 2002
• Publication Date: 2014-10-03
• Subjects: Bonferonni inequality -- bootstrap -- moment inequalities -- partial identification -- uniform validity; Econometrics -- Periodicals; Economics, Mathematical -- Periodicals; Economics -- Periodicals; Économétrie -- Périodiques; Mathématiques économiques -- Périodiques; Économie politique -- Périodiques; 330.05
• DOI: 10.3982/ECTA11011
• Languages: English
• ISSNs: 0012-9682

Abstract

Abstract : This paper considers the problem of testing a finite number of moment inequalities. We propose a two‐step approach. In the first step, a confidence region for the moments is constructed. In the second step, this set is used to provide information about which moments are "negative." A Bonferonni‐type correction is used to account for the fact that, with some probability, the moments may not lie in the confidence region. It is shown that the test controls size uniformly over a large class of distributions for the observed data. An important feature of the proposal is that it remains computationally feasible, even when the number of moments is large. The finite‐sample properties of the procedure are examined via a simulation study, which demonstrates, among other things, that the proposal remains competitive with existing procedures while being computationally more attractive.