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Shrinkage Estimation of the Intercept Parameter in Linear Regression
Linnaeus University, School of Business and Economics, Department of Economics and Statistics (NS).
Linnaeus University, School of Business and Economics, Department of Economics and Statistics (NS).
Linnaeus University, School of Business and Economics, Department of Economics and Statistics (NS). Örebro University, Sweden.ORCID iD: 0000-0002-1395-9427
2024 (English)In: Advanced Statistical Methods in Process Monitoring, Finance, and Environmental Science: Essays in Honour of Wolfgang Schmid, Cham: Springer Nature, 2024, p. 279-293Chapter in book (Other academic)
Abstract [en]

It is well known that the slope parameters in the linear regression model may be subject to high sampling variance when the regressors are non-orthogonal. A vast number of ridge and shrinkage estimators have been proposed to yield improvements over ordinary least squares or maximum likelihood estimators. The intercept parameter, however, has been given very little attention in the context. We propose a number of intercept estimators for models with non-orthogonal regressors that are based on shrinkage techniques. The optimal values of shrinkage coefficients are obtained according to the minimum mean square error criterion. A good performance of proposed estimators is documented.

Place, publisher, year, edition, pages
Cham: Springer Nature, 2024. p. 279-293
National Category
Probability Theory and Statistics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-142643DOI: 10.1007/978-3-031-69111-9_14Scopus ID: 2-s2.0-105006864998ISBN: 9783031691102 (print)ISBN: 9783031691119 (electronic)OAI: oai:DiVA.org:lnu-142643DiVA, id: diva2:2015324
Available from: 2025-11-20 Created: 2025-11-20 Last updated: 2025-11-20Bibliographically approved

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Holgersson, ThomasMazur, Stepan

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