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Asymptotics for penalized spline estimators in quantile regression
Takuma Yoshida · 2012-09-06 · via math.ST updates on arXiv.org

Quantile regression predicts the $τ$-quantile of the conditional distribution of a response variable given the explanatory variable for $τ\in(0,1)$. The aim of this paper is to establish the asymptotic distribution of the quantile estimator obtained by penalized spline method. A simulation and an exploration of real data are performed to validate our results.

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