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有限样本条件下重复抽样建模方法研究

高艳平 王晶

统计与决策2019,Vol.35Issue(8):22-25,4.
统计与决策2019,Vol.35Issue(8):22-25,4.DOI:10.13546/j.cnki.tjyjc.2019.08.005

有限样本条件下重复抽样建模方法研究

Modeling Method of Repeated Sampling Under Finite Sample Condition

高艳平 1王晶1

作者信息

  • 1. 山西财经大学 统计学院,太原 030006
  • 折叠

摘要

Abstract

This paper proves the superiority of the Features Sample Re-sampling Regression (FSR) method from the perspective of mathematics and simulation. Firstly the paper mathematically proves that for continuous variables, the sampling method in FSR can make full use of the data distribution information of non-original sampling points to improve the estimation accuracy, and that the statistical coefficient of variation obtained by FSR method is inversely proportional to the number of samples [m]. And then the paper makes simulation and comparison of small sample parameter estimation's traditional regression, Bayes Bootstrap and the method of features sample repeated sampling to verify the above conclusions.

关键词

有限样本/特征样本重复抽样回归/先验分布

Key words

finite sample/Features Sample Re-sampling Regression/prior distribution

分类

数理科学

引用本文复制引用

高艳平,王晶..有限样本条件下重复抽样建模方法研究[J].统计与决策,2019,35(8):22-25,4.

基金项目

国家社会科学基金资助项目(16BTJ016) (16BTJ016)

统计与决策

OA北大核心CHSSCDCSSCICSTPCD

1002-6487

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