CONVERGENCE RATES OF THE EMPIRICAL PROCESSES INDEXED BY THE CLASSES OF FUNCTIONS AND APPLICATIONS
函数类指标集经验过程的收敛速度及其应用

The convergence rates of the empirical processes indexed by the classes of functions areinvestigated,and some existent results are extended.As an application,the weak convergenceof a direction estimated empirical process to the standard Brownian motion is studied.