Before revision:  As an application, we propose a new estimator that minimizes the(\beta) that may depend on a possibly infinite-dimensional parameter \beta\in }\Bbf\E  ||X(\beta)|| \leq CK }\left( + \gamma_2(}\Bbf\right)(\cdot), and \gamma_2(}\Bbf\Bbf operator norm of the matrix that consists ofthe moment functions. We show the consistency of the estimator .
After revision:  As an application, we propose a new estimator that minimizes the(\beta) that may depend on a possibly infinite-dimensional parameter \beta\in }\Bbf\E ||X(\beta)|| \leq CK }\left( + \gamma_2(}\Bbf\right)(\cdot), and \gamma_2(}\Bbf\Bbf operator norm of moment conditions as well as for estimation of the maximal number of factors with functional data .