Document Type
Discussion Paper
Publication Date
12-1-2014
CFDP Number
1975
CFDP Pages
19
Abstract
This note uses a simple example to show how moment inequality models used in the empirical economics literature lead to general minimax relative efficiency comparisons. The main point is that such models involve inference on a low dimensional parameter, which leads naturally to a definition of “distance” that, in full generality, would be arbitrary in minimax testing problems. This definition of distance is justified by the fact that it leads to a duality between minimaxity of confidence intervals and tests, which does not hold for other definitions of distance. Thus, the use of moment inequalities for inference in a low dimensional parametric model places additional structure on the testing problem, which leads to stronger conclusions regarding minimax relative efficiency than would otherwise be possible.
Recommended Citation
Armstrong, Timothy B., "A Note on Minimax Testing and Confidence Intervals in Moment Inequality Models" (2014). Cowles Foundation Discussion Papers. 2390.
https://elischolar.library.yale.edu/cowles-discussion-paper-series/2390