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相依函数型数据条件分位数估计的渐近性研究 被引量:1

Asymptotic Property of Conditional Quantile Estimation with Dependent Functional Data
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摘要 引入熵的概念对条件分位数估计进行研究,以获得条件分位数函数估计的几乎完全一致收敛速度,并改进了独立场合以及相依条件下的逐点收敛速度。 Entropy method was used to study the uniform convergence rate of conditional quantile function estimation based on function data.Under certain conditions,the almost complete uniform convergence rate of conditional quantile function estimation was obtained,and the pointwise convergence rate in i.i.d or in dependent cases was improved.
作者 丁洁 余新宏 DING Jie;YU Xinhong(Economics and Technical College,Anhui Agricultural University,Hefei 230001,China)
出处 《安徽科技学院学报》 2021年第2期74-80,共7页 Journal of Anhui Science and Technology University
基金 安徽省高校自然科学研究重点项目(KJ2019A0933)。
关键词 条件分位数 函数型数据 几乎完全一致收敛速度 Conditional quantile estimation Functional data Entropy Almost completely uniform convergence rate
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  • 1Samanta M. Non-parametric estimation of conditional quan- tiles[J]. Statist Probab Lett, 1989,7 : 407-412.
  • 2Stute W. Conditional empirical processes [J]. Ann Statist, 1986,14:638-647.
  • 3Gannoun A, Saracco J, Yu K. Nonparametric prediction by conditional median and quantiles [J]. J Statist Plann Infer, 2003,117 : 207-223.
  • 4Ferraty F, Vieu P. Nonparametric functional data analysis: theory and practice[M]. New York: Springer, 2006: 17-86.
  • 5Azzedine N, Laksaci A, Ould Said E. On the robust non- parametric regression estimation for functional regressor [J]. Statist Probab Lett, 2008,78 : 3216- 3221.
  • 6Ezzahrioui M, Onld Said E. Asymptotic normality of the kernel estimators of the conditional quantile in the normed space [J]. Far East J Theoret Statist,2008a,25:15-38.
  • 7Ezzahrioui M,Onld Said E. Asymptotic results of the kernel estimator of the conditional quantiles in the normed space under a-mixing hypothesis [J ]. Commum Statist Ther Meth, 2008b, 37 : 2735- 2759.
  • 8Laksaci A, Lemdani M, Ould Said E. A generalized Ll-ap- proach for a kernel estimator of conditional quantile with functional regressors:Consistency and asymptotic normality [J]. Statist Probab Lett, 2009,79 : 1065- 1073.
  • 9Dabo-Niang S, Laksaci A. Nonparametric quantile regres- sion estimation for functional dependent data[J]. Commum Statist Ther Meth,2012,41 : 1254-1268.
  • 10Laib N, Louani D. Nonparametric kernel regression esti mation for functional stationary ergodie data: asymptotic properties [J]. J Multivariate Anal, 2010, 101:.2266-2281.

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