In this paper we introduce a family of minimum distance from independence estimators, suggested by Manski’s minimum mean square from independence estimator. We establish strong consistency, asymptotic normality and consistency of resampling estimates of the distribution and variance of these estimators. For Manski’s estimator we derive both strong consistency and asymptotic normality.
Brown, Donald J. and Wegkamp, Marten H., "Asymptotics in Minimum Distance from Independence Estimation" (2000). Cowles Foundation Discussion Papers. 1502.