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相关性数据下变系数模型的非参数估计

赵明涛 许晓丽

统计与决策2019,Vol.35Issue(8):9-12,4.
统计与决策2019,Vol.35Issue(8):9-12,4.DOI:10.13546/j.cnki.tjyjc.2019.08.002

相关性数据下变系数模型的非参数估计

Nonparametric Estimation for Variable Coefficient Model With Correlated Data

赵明涛 1许晓丽1

作者信息

  • 1. 安徽财经大学 统计与应用数学学院,安徽 蚌埠 233030
  • 折叠

摘要

Abstract

This paper studies the nonparametric estimation of variable coefficient models with correlation data. By using polynomial spline regression method to approximate the unknown function coefficients, the paper constructs a penalty correction quadratic inference function about the coefficient of basis function, and gets an estimate of the coefficient of basis function to establish the asymptotic property of the estimator. As a result, the estimated numerical solution is obtained by using secant method. Results show that the proposed estimation method has good practical application value.

关键词

相关性数据/变系数模型/割线法

Key words

correlation data/varying-coefficient models/secant method

分类

数理科学

引用本文复制引用

赵明涛,许晓丽..相关性数据下变系数模型的非参数估计[J].统计与决策,2019,35(8):9-12,4.

基金项目

国家社会科学基金青年项目(15CTJ008) (15CTJ008)

统计与决策

OA北大核心CHSSCDCSSCICSTPCD

1002-6487

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