J4 ›› 2011, Vol. 49 ›› Issue (05): 844-848.

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A Note on the Precise Asymptotics for Uniform Empirica

WU Suwen1, ZHANG Yong2, LI Xixia1, FENG Daguang1   

  1. 1. College of Science, Shenyang Agricultural University, Shenyang 110866, China;2. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2011-01-27 Online:2011-09-26 Published:2011-09-27
  • Contact: ZHANG Yong E-mail:zyong2661@jlu.edu.cn

Abstract:

ith the help of  the weak convergence theorem and the inequality of tail probability of empirical process, the authors obtain a general law of precise asymptotics in complete moment convergence for more general boundary function and weighted function.

Key words: uniform empirical process, complete moment convergence, precise asymptotics, general law, Brownian bridge

CLC Number: 

  • O211.4