多元部分线性模型的几个渐近性质

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 270-274.

多元部分线性模型的几个渐近性质

1. Department of Mathematics and Computer Science, Tongling University2. Department of Mathematics, Anhui University

收稿日期:2008-04-01 出版日期:2011-06-30 发布日期:2023-05-05
作者简介:ZHUO Xing-cai(1974-), male, native of Dangtu, Anhui, M.S.D., engages in nonparametric statistics; HU Shu-he(1954-), male, native of Shucheng, Anhui, a professor and tutor of doctor student of Anhui University, engages in nonparametric statistics.
基金资助:
Supported by the Anhui Provincial Natural Science Foundation(11040606M04)； Supported by the National Natural Science Foundation of China(10871001,10971097)；

Some Asymptotic Properties for Multivariate Partially Linear Models

1. Department of Mathematics and Computer Science, Tongling University2. Department of Mathematics, Anhui University

Received:2008-04-01 Online:2011-06-30 Published:2023-05-05
About author:ZHUO Xing-cai(1974-), male, native of Dangtu, Anhui, M.S.D., engages in nonparametric statistics; HU Shu-he(1954-), male, native of Shucheng, Anhui, a professor and tutor of doctor student of Anhui University, engages in nonparametric statistics.
Supported by:
Supported by the Anhui Provincial Natural Science Foundation(11040606M04)； Supported by the National Natural Science Foundation of China(10871001,10971097)；

摘要/Abstract

摘要： The paper considers a multivariate partially linear model under independent errors, and investigates the asymptotic bias and variance-covariance for parametric component βand nonparametric component F(·) by the GJS estimator and Kernel estimation.

关键词: multivariate partially linear models, GJS estimator, asymptotic properties

Abstract: The paper considers a multivariate partially linear model under independent errors, and investigates the asymptotic bias and variance-covariance for parametric component βand nonparametric component F(·) by the GJS estimator and Kernel estimation.

Key words: multivariate partially linear models, GJS estimator, asymptotic properties

中图分类号:

O212.7

周兴才, 胡舒合. 多元部分线性模型的几个渐近性质[J]. 数学季刊, 2011, 26(2): 270-274.

ZHOU Xing-cai, HU Shu-he. Some Asymptotic Properties for Multivariate Partially Linear Models[J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 270-274.

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