负超可加阵列下非参数回归函数估计的相合性

doi:10.6040/j.issn.1671-9352.0.2018.076

《山东大学学报(理学版)》 ›› 2018, Vol. 53 ›› Issue (12): 69-74.doi: 10.6040/j.issn.1671-9352.0.2018.076

负超可加阵列下非参数回归函数估计的相合性

李永明^1,3,聂彩玲²,刘超¹,郭建华¹

1.上饶师范学院数学与计算机科学学院, 江西上饶 334001;2.南昌大学理学院, 江西南昌 330000;3.上海财经大学统计与管理学院, 上海 200433

出版日期:2018-12-20 发布日期:2018-12-18
作者简介:李永明(1970— ),男,硕士,教授,研究方向为非参数统计. E-mail:lym1019@163.com
基金资助:
国家自然科学基金资助项目(11461057,11561010);江西省自然科学基金资助项目(20161BAB201003);国家自然科学基金委重点项目(71331006,91546202);长江学者和教育部创新团队发展计划项目(IRT13077)

Consistency of estimator of nonparametric regression function for arrays of rowwise NSD

LI Yong-ming^1,3, NIE Cai-ling², LIU Chao¹, GUO Jian-hua¹

1. School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, Jiangxi, China;
2. College of Sciences, Nanchang University, Nangchang 330000, Jiangxi, China;
3. School of Statistics and Management, Shanghai University of Finance and Economics, Shanghai 200433, China

Online:2018-12-20 Published:2018-12-18

摘要/Abstract

摘要： 对于随机误差是负超可加阵列情形,考虑了非参数回归模型中未知回归函数的估计问题。在较合理的条件下获得了未知回归函数加权估计量的强相合性。

关键词: 非参数回归函数, 负超可加序列, 权函数估计, 强相合性

Abstract: With the random error of arrays of rowwise NSD, the estimation of the unknown regression function in the nonparametric regression model is considered. Under certain conditions, the strong consistency of the weighted estimator of the unknown regression function is obtained.

Key words: nonparmetric regression function, NSD sequences, weighted function estimator, strong consistency

中图分类号:

O211.67

李永明,聂彩玲,刘超,郭建华. 负超可加阵列下非参数回归函数估计的相合性[J]. 《山东大学学报(理学版)》, 2018, 53(12): 69-74.

LI Yong-ming, NIE Cai-ling, LIU Chao, GUO Jian-hua. Consistency of estimator of nonparametric regression function for arrays of rowwise NSD[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(12): 69-74.

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负超可加阵列下非参数回归函数估计的相合性

Consistency of estimator of nonparametric regression function for arrays of rowwise NSD

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