相依样本下非参数回归函数基于分割估计的强相合性

数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 28-33.

相依样本下非参数回归函数基于分割估计的强相合性

School of Science, Hefei University of Technology, Hefei 230009, China

收稿日期:2003-02-18 出版日期:2005-03-30 发布日期:2024-01-25
作者简介:LING Neng-xiang(1964-),male,native of Feixi,Anhui,an associate professor of Hefei University of Technology,M.S.D.,engages in probability theory and statistics.
基金资助:
Supported by the Science Development Foundation of HFUT(041002F)；

Strong Convergence of Partitioning Estimation for Nonparametric Regression Function under Dependence Samples

School of Science, Hefei University of Technology, Hefei 230009, China

Received:2003-02-18 Online:2005-03-30 Published:2024-01-25
About author:LING Neng-xiang(1964-),male,native of Feixi,Anhui,an associate professor of Hefei University of Technology,M.S.D.,engages in probability theory and statistics.
Supported by:
Supported by the Science Development Foundation of HFUT(041002F)；

摘要/Abstract

摘要： In this paper, we study the strong consistency for partitioning estimation of regression function under samples that are (?)-mixing sequences with identically distribution.

关键词: nonparametric regression function, partitioning estimation, strong convergence,
φ-mixing sequences

Abstract: In this paper, we study the strong consistency for partitioning estimation of regression function under samples that are (?)-mixing sequences with identically distribution.

Key words: nonparametric regression function, partitioning estimation, strong convergence,
φ-mixing sequences

中图分类号:

O212.7

凌能祥, 杜雪樵. 相依样本下非参数回归函数基于分割估计的强相合性[J]. 数学季刊, 2005, 20(1): 28-33.

LING Neng-xiang, DU Xue-qiao . Strong Convergence of Partitioning Estimation for Nonparametric Regression Function under Dependence Samples[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(1): 28-33.

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