SMU SOE Online Seminar (Aug 13, 2020, 10.30am-12.00pm): Simple Adaptive Size-Exact Test for Full-Vector and Subvector Inference in Moment Inequality Models
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TOPIC:
SIMPLE ADAPTIVE SIZE-EXACT TEST FOR FULL-VECTOR AND SUBVECTOR INFERENCE IN MOMENT INEQUALITY MODELS
ABSTRACT
We propose a simple test for moment inequalities that has exact size in normal models with know variance, and has uniformly asymptotically exact size in general. The test compares the likelihood ratio statistic to a chi-squared critical value, where the degrees of freedom is the rank of inequalities active in finite samples. The test requires no simulated critical values and thus is computationally fast and especially suitable for constructing confidence sets for parameters by test inversion. It uses no tuning parameter for moment selection and yet still adapts to the slackness of the moment inequalities. Furthermore, we show how the test can be easily adapted for inference on subvectors for the common empirical setting of conditional moment inequalities with nuisance parameters entering linearly.
Keywords: Likelihood ratio, linear programming, moment inequalities, sub-vector inference, uniform inference.