最近核邻型的光滑条件分位过程强逼近及其应用

Strong Approximations for A Smooth Conditional Quantile Process and Its Applications

文中证明了核邻型的光滑条件分位过程的强逼近，获得了其一致逼近速度．并由此结果推导出了光滑条件分位估计的渐近正态性、弱收敛和对数律等深刻结果．

Under some weak conditions，the strong approximations for smooth conditional quantile processes are proved． The wenk convergence and strong uniform convergence、ofthis quantile process are derived by the strong approximations．