AN EQUIVALENCE RESULT FOR VC CLASSES OF SETS
证明了无限集乘积的投影类具有VC性质当且仅当另一个投影类也具有该性质，并用半参数变换模型估计的例子说明该结果的应用价值。
Let and Θ be infinite sets and let × Θ. We show that the class of projections of A onto is a Vapnik–Chervonenkis ( VC ) class of sets if and only if the class of projections of A onto Θ is a VC class. We illustrate the result in the context of semiparametric estimation of a transformation model. In this application, the VC property is hard to establish for the projection class of interest but easy to establish for the other projection class.