Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 643-651.

• Articles • Previous Articles     Next Articles

The Rate of Uniformly Asymptotic Normality for Probability Density Estimator under Negatively Associated Samples

 LI Yong-Meng, YANG Shan-Chao   

  • Online:2005-10-25 Published:2005-10-25
  • Supported by:

    国家自然科学基金(10161004)、江西省教育厅科研计划项目([2005]234)和上饶师范学院科技基金资助

Abstract:

In this paper, the authors  discuss the  uniformly asymptotic normality for an u nknown pro bability density function estimator under stationary and negatively associated s amples. Under suitable conditions, the authors  give the rate of the uniformly a symptotic normality that can get near n^{-1/6}

Key words: Negatively associated samples, Uniformly asymptotic norm ality, Kernel estimator

CLC Number: 

  • 62G07
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