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 The uniform consistency of the sample kernel quantile process Bull. Korean Math. Soc. 2004 Vol. 41, No. 3, 403-412 Published online September 1, 2004 Jongsig Bae and Sungyeun Kim Sung-kyunkwan University 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 MSC numbers : Primary 60F15; Secondary 62G20 Full-Text :