Application of Bayesian Method in Linear Regression
DOI:
https://doi.org/10.54097/9f44nf08Keywords:
Bayesian Method; Linear Regression; Bayesian Linear Regression Model.Abstract
This paper investigates the application of Bayesian methods in linear regression. Firstly, the basic principles of linear regression and Bayesian methods were introduced. Then, the construction and inference methods of Bayesian linear regression models were discussed in detail. Furthermore, the application of Bayesian methods in other regression problems was explored, and their limitations and improvement directions in practice were analyzed. Finally, the main research findings were summarized and suggestions for future research directions were proposed.
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References
Zhu, H., Han, Y. (2001) Bayesian Statistical Inference of Multiple linear Regression Models. Statistics and Decision Making.
Hu, Z., Yang, X. (2011) Bayesian Analysis of Linear Regression Model under NMAR Mechanism. Journal of Chuxiong Normal University.
Yao, Y. (2010) Nonparametric Bayesian estimation of linear regression models with missing variables. East China University of Science and Technology.
Zhu, H., Han, Y., Wu, Z. (2005) Bayesian prediction Analysis of Multiple linear Regression Model. Operations Research and Management.
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