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arxiv: 0810.1156 · v1 · submitted 2008-10-07 · 🧮 math.ST · stat.TH

A strong uniform convergence rate of a kernel conditional quantile estimator under random left-truncation and dependent data

classification 🧮 math.ST stat.TH
keywords estimatorstrongconditionalconvergencedatakernelobtainedquantile
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In this paper we study some asymptotic properties of the kernel conditional quantile estimator with randomly left-truncated data which exhibit some kind of dependence. We extend the result obtained by Lemdani, Ould-Sa\"id and Poulin [16] in the iid case. The uniform strong convergence rate of the estimator under strong mixing hypothesis is obtained.

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