Abstract
This paper considers Closest Moment (CM) estimation with a general distance function, and avoids the assumption of nonsingular quadratic local behavior. The results of MANSKI (1983), NEWEY (1988), POTSCHER and PRUCHA (1997), and DE JONG and HAN (2002) are obtained as special cases. Consistency and a root-n rate of convergence are obtained under mild conditions on the distance function and on the moment condi- tions. We derive the limit distribution of CM estimators in a general setting, and show that the limit distribution is not necessarily normal. Asymptotic normality is obtained as a special case when the distance function displays nonsingular quadratic behavior. La methode d'estimation plus proche sous les conditions generales RESUME. - This paper considers Closest Moment (CM) estimation with a general distance function, and avoids the assumption of nonsingular qua- dratic local behavior. The results of Manski (1983), Newey (1988), Potscher and Prucha (1997), and de Jong and Han (2002) are obtained as special cases. Consistency and a root-n rate of convergence are obtained under mild conditions on the distance function and on the moment conditions. We derive the limit distribution of CM estimators in a general setting, and show that the limit distribution is not necessarily normal. Asymptotic normality is obtained as a special case when the distance function displays nonsingu- lar quadratic behavior.
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