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Asymptotic Properties of Nonparametric Kernel Regression Estimator for rho-Mixing Samples
Authors:YANG Xiutao  YANG Xin  LIU Lianhu  YANG Shanchao
Affiliation:Teaching and Research Department of Public Mathematics, Networking School, Haikou College of Economics, Haikou, 571127, China; Department of Mathematics, Guilin University of Aerospace Technology, Guilin, 541004, China;School of Public Health, Hainan Medical University, Haikou, 571199, China School of Mathematics and Statistics, Guangxi Normal University, Guilin, 541004, China
Abstract:For rho-mixing samples, we discuss thestrong consistency of the nonparametric kernel regression estimator proposed by Gasser and Muller. Under more weaker conditions, its strong consistency and uniformly strong consistency are proved.
Keywords:rho-mixing samples  nonparametric kernel regression estimator  strong consistency  uniformly strong consistency  
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