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强混合样本下随机设计情形线性模型的经验似然推断

黄玉 秦永松

应用数学2022,Vol.35Issue(2):261-271,11.
应用数学2022,Vol.35Issue(2):261-271,11.

强混合样本下随机设计情形线性模型的经验似然推断

Empirical Likehood for Linear Models with Random Designs Under Strong Mixing Samples

黄玉 1秦永松2

作者信息

  • 1. 南宁学院,广西南宁530200
  • 2. 广西师范大学,广西桂林541004
  • 折叠

摘要

Abstract

In this paper,we study the blockwise empirical likelihood (EL) method to construct the confidence regions for the regression vectorβ in a linear model with random designs under strong mixing samples.It is shown that the blockwise EL ratio statistic for β is asymptotically x2 distributed,which are used to construct the EL-based confidence region for β with random designs under strong mixing samples.Results of a simulation study on the finite sample performance of the confidence region are reported.

关键词

线性模型/随机设计/分块经验似然/强混合/置信区间

Key words

Linear model/Random design/Blockwise empirical likelihood/Strong mixing/Confidence region

分类

数理科学

引用本文复制引用

黄玉,秦永松..强混合样本下随机设计情形线性模型的经验似然推断[J].应用数学,2022,35(2):261-271,11.

基金项目

Supported by the National Natural Science Foundation of China(11901124),the Basic Ability Promotion Project for Young and Middle-age Teachers of Guangxi(2020KY64007),the Professor Nurturing Engineering Project of Nanning University(2021JSGC07) (11901124)

应用数学

OA北大核心CSTPCD

1001-9847

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