Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (3): 245-254.

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Strong Approximations for A Smooth Conditional Quantile Process and Its Applications

Zhou Yong   

  1. Peking University, Beijing 100871
  • Received:1994-11-22 Revised:1996-07-22 Online:1997-06-26 Published:1997-06-26

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

Key words: Strong approximation, Conditional empirical process, Smooth conditional quantile process, Brownian bridge

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