ℒ1-deficiency of the sample quantile estimator with respect to a kernel quantile estimator

2013 ◽  
Vol 83 (10) ◽  
pp. 2399-2406 ◽  
Author(s):  
Mu Zhao ◽  
Hongmei Jiang ◽  
Yong Zhou
Keyword(s):  
Sample Quantile ◽  
Kernel Quantile Estimator

scholarly journals Moderate and Large Deviations for the Smoothed Estimate of Sample Quantiles

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Xiaoxia He ◽  
Xi Liu ◽  
Chun Yao
Keyword(s):  
Large Deviations ◽  
Sample Quantile ◽  
Large Deviations Principle ◽  
Sample Quantiles ◽  
Independent And Identically Distributed

We derive the moderate and large deviations principle for the smoothed sample quantile from a sequence of independent and identically distributed samples of sizen.

Two-sample quantile tests under general conditions

Biometrika ◽  
1999 ◽  
Vol 86 (4) ◽  
pp. 909-921 ◽  
Author(s):  
M. Kosorok
Keyword(s):  
Sample Quantile ◽  
General Conditions
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