吉林大学学报(理学版)

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ρ混合序列小波估计的渐近性质

丁立旺1, 李永明2   

  1. 1. 广西财经学院 信息与统计学院, 南宁 530003; 2. 上饶师范学院 数学与计算机科学学院, 江西 上饶 334001
  • 收稿日期:2016-05-16 出版日期:2017-03-26 发布日期:2017-03-24
  • 通讯作者: 丁立旺 E-mail:2008dingliwang@163.com

Asymptotic Properties of Wavelet Estimator for ρMixing Sequence

DING Liwang1, LI Yongming2   

  1. 1. School of Information and Statistics, Guangxi University of Financial and Economics, Nanning 530003, China;2. School of Mathematics and Computer
     Science, Shangrao Normal University,Shangrao 334001, Jiangxi Province, China
  • Received:2016-05-16 Online:2017-03-26 Published:2017-03-24
  • Contact: DING Liwang E-mail:2008dingliwang@163.com

摘要: 利用截断和大小分块的方法, 考虑非参数回归模型中ρ混合序列小波估计的渐近性质, 得到了函数g(·)小波估计的强相合性与渐近正态性.

关键词: 强相合性, &rho, 小波估计, 混合序列, 渐近正态性

Abstract: By using methods of truncation and largeblocks or smallblocks, we considered the asymptotic properties of the wavelet estimator for ρmixing sequence in the nonparametric regression model, and obtained the strong consistency and the asymptotic normality of the wavelet estimator of g(·).

Key words: asymptotic normality, ρmixing sequence, strong consistency, wavelet estimator

中图分类号: 

  • O212.4