文章基本信息

标题：Parameter estimation and application of non full rank linear regression model
本地全文：下载
作者：Fan Jun ; Du Wei ; Jiang Yiming 等
期刊名称：Advances in Educational Technology and Psychology
印刷版ISSN：2371-9397
电子版ISSN：2371-9400
出版年度：2022
卷号：6
期号：7
页码：9-13
DOI：10.23977/aetp.2022.060703
语种：English
出版社：Clausius Scientific Press Inc.
摘要：In the article, we first introduced the conception of non full rank model. Using the knowledge of probability theory and mathematical statistics, similar to the regular inverse of matrix, the general solution of normal equations was obtained by using the conditional inverse of matrix. In addition, by introducing the concept of estimable quantity, we found that the BLUE of the estimable quantity was unique. In addition, for the non full rank linear model, we estimated the estimable parameters and analysed the variance, and then solved the confidence interval of the parameters. Ultimately, we analysed the parameter estimation on the basis of the linear model.
关键词：The non full rank model; Parameter estimation;Conditional inverse