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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 Name
Affiliation
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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