Optimal convergence rates of nonparametric conditional quantiles in dependent cases  

Optimal convergence rates of nonparametric conditional quantiles in dependent cases

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作  者:施沛德 何旭铭 

机构地区:[1]Peking University, Beijing 100871, China [2]University of Illinois, USA

出  处:《Chinese Science Bulletin》1995年第8期627-631,共5页

基  金:Project supported in part by a postdoctoral fellowship and the National Natural Science Foundation of China.

摘  要:The ordinary quantiles for univariate data were successfully generalized to linear modelsin Koenker and Bassett. Regression quantiles provide more specific and more global in-formation on the relationship of two variables through their distributions. Mosteller andTukey argued that the use of regression quantiles helps to provide a more complete pic-

关 键 词:NONPARAMETRIC regression QUANTILES B-SPLINES optimal rates of convergence STRICTLY STATIONARY sequence β-mixing. 

分 类 号:O211[理学—概率论与数理统计]

 

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