Some Limit Theorems for Kernel-Smooth Quantile Estimators
Received:January 14, 1995  
Key Words: Bahadur representation   sample quantile   empirical process and quantile process.  
Fund Project:This work was supported by the postdoctoral grant of China.
Author NameAffiliation
Zhou Yong Inst. of Appl. Math.
Academia Sinica
Beijing 100080 
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Abstract:
      Weak convergence and strong consistency of the remainder term in the Bahadur representation of the sample p-quantile are established. From the results we obtain asymptotic normality and the laws of iterated logarithm for smooth quantile estimator.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.04.004
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