Published online by Cambridge University Press: 07 October 2009
We derive a closed-form expression for the asymptoticdistribution of the LIML estimator for thecoefficients of both endogenous and exogenousvariables in a partially identified linearstructural equation. We extend previous results ofPhillips (1989) and Choi and Phillips (1992), wherethe focus was on IV estimators. We show that partialfailure of identification affects the LIML in thatits moments do not exist even asymptotically.
I thank Richard Smith and two referees for usefulcomments. This research was partially supported byAustralian Research Council grant DP0771445.