[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2004.41.3.403

THE UNIFORM CONSISTENCY OF THE SAMPLE KERNEL QUANTILE PROCESS

Bae, Jong-Sig (Department of Mathematics and Institute of Basic Science, Sung-Kyunkwan University)
Kim, Sung-Yeun (Department of Mathematics and Institute of Basic Science, Sung-Kyunkwan University)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 403-412 More about this Journal

Abstract

We obtain a kernel quantile process based on the kernel quantile estimator and prove the uniform consistency of the kernel quantile process by developing that of the usual sample quantile process. We apply our result to the classical kernel type processes.

Keywords

sample quantile process; kernel quantile process; L process; uniform consistency;

Citations & Related Records

Reference

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