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Linear regression under model uncertainty.

Authors :
Shuzhen Yang
Jianfeng Yao
Source :
Probability, Uncertainty & Quantitative Risk; Dec2023, Vol. 8 Issue 4, p523-546, 24p
Publication Year :
2023

Abstract

This article explores the concept of model uncertainty in linear regression analysis and proposes a method to characterize mean and variance uncertainty in the response variable. The authors introduce a family of estimators for regression parameters and parameters related to model uncertainty, and establish their consistency. The approach is applied to three different applications, including a forecasting model for the S&P Index. The article provides a valuable contribution to the limited literature on regression analysis under model uncertainty. [Extracted from the article]

Details

Language :
English
ISSN :
20959672
Volume :
8
Issue :
4
Database :
Complementary Index
Journal :
Probability, Uncertainty & Quantitative Risk
Publication Type :
Academic Journal
Accession number :
174482941
Full Text :
https://doi.org/10.3934/puqr.2023024