Before revision: In this paper, we derive a uniform stochastic bound of the operator norm (or equivalently,the largest singular value)of random matrices whose elements are indexed by parameters. 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.
After revision: For an N \times T random matrix X(\beta) with weakly dependent uniformly sub-Gaussian entries x_{it(\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.