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Title:Uniform bias study and Bahadur representation for local polynomial estimators of the conditional quantile function PDF Logo
Authors:Guerre, Emmanuel
Sabbah, Camille
Issue Date:2009
Series/Report no.:Working Paper // School of Economics and Finance, Queen Mary, University of London 648
Abstract:This paper investigates the bias and the Bahadur representation of a local polynomial estimator of the conditional quantile function and its derivatives. The bias and Bahadur remainder term are studied uniformly with respect to the quantile level, the covariates and the smoothing parameter. The order of the local polynomial estimator can be higher that the differentiability order of the conditional quantile function. Applications of the results deal with global optimal consistency rates of the local polynomial quantile estimator, performance of random bandwidths and estimation of the conditional quantile density function. The latter allows to obtain a simple estimator of the conditional quantile function of the private values in a first price sealed bids auctions under the independent private values paradigm and risk neutrality.
Subjects:Bahadur representation
conditional quantile function
local polynomial estimation
econometrics of auctions
JEL:C14
C21
Document Type:Working Paper
Appears in Collections:Working Paper Series, School of Economics and Finance, Queen Mary, University of London

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