A local polynomial regression on empirical ranks of order statistics yields boundary-adaptive estimators of the quantile density and its derivatives with asymptotic normality and consistency on unbounded supports.
Unnikrishnan and Sankaran, P
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Local polynomial estimation of quantile density functions
A local polynomial regression on empirical ranks of order statistics yields boundary-adaptive estimators of the quantile density and its derivatives with asymptotic normality and consistency on unbounded supports.