Estimation of Parameters in Regression Analysis Based on QR Decomposition of Rectangular Matrices by Householder Reflections
Abstract
An approach to eliminate multicollinearity problems in regression analysis using QR decomposition of rectangular matrices by Householder reflection has been proposed. The reliability of this computational procedure has been proved.Povzetek: Predložen je pristup uklanjanju problema multikolinearnosti u regresijskoj analizi korištenjem QR dekompozicije pravokutnih matrica Householderovom refleksijom. Dokazana je pouzdanost ovog proračunskog postupka.References
Ishikawa, A., Fujimoto, S., Mizuno, T. (2021). Why does production function take the Cobb–Douglas form? Evolutionary and Institutional Economics Review. Vol. 18(1), 79-102.
Yang, Y., Schmidt, P. (2021). An econometric approach to the estimation of multi-level models. Journal of Econometrics. Vol. 220(2), 532-543.
Liu, L., Fan, T. (2021). The Impact of Identity on Satisfaction toward Entrepreneurial Environment: A Case Study. Discrete Dynamics in Nature and Society. Vol. 2021. 1-8.
A. Borisov, I. (2021). Agricultural personnel and rural labour: How is their reproduction related? Journal of New Economy. Vol. 22(3), 161-183.
Varbanova, V., Beutels, P. (2020). Recent quantitative research on determinants of health in high income countries: A scoping review. PLOS ONE. Vol. 15(9), 1-21.
Wang, W., Zhou, Y. (2021). Eigenvector-based sparse canonical correlation analysis: Fast computation for estimation of multiple canonical vectors. Journal of Multivariate Analysis. Vol. 185(C), 30-41.
Cheng, H. (2021). Importance sampling imputation algorithms in quantile regression with their application in CGSS data. Mathematics and Computers in Simulation (MATCOM). Vol. 188(C), 498-508.
Li, T., Song, X., Zhang, Y., Zhu, H., Zhu, Z. (2021). Clusterwise functional linear regression models. Computational Statistics & Data Analysis. Vol. 158(C), 101-112.
Jian, D., Yu, C., Aihua, G., Jingwei, C., Lili, L., Qinling, C., Shujun, L., Qifeng, X. (2020). Potential Trend for Online Shopping Data Based on the Linear Regression and Sentiment Analysis. Mathematical Problems in Engineering. Vol. 2020, 1-11.
Bagnato, L., Punzo, A. (2021). Unconstrained representation of orthogonal matrices with application to common principal components. Computational Statistics. Vol. 36(2), 1177-1195.
Wei, C., Bo, Z. (2021). Controllability of Flow-Conservation Transportation Networks with Fractional-Order Dynamics. Complexity. Vol. 2021, 1-13.
Wireko, F., Barnes, B., Sebil, C., Ackora-Prah, J. (2021). The Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems. Journal of Applied Mathematics. Vol. 2021, 1-11.
Jiayan, W., Lanlan, G., Zongmin, L., Xueqin, W., Zhengqing, F. (2021). An Efficient Algorithm for Ill-Conditioned Separable Nonlinear Least Squares. Journal of Mathematics. Vol. 2021, 1-8.
DOI:
https://doi.org/10.31449/inf.v46i4.3984Downloads
Published
How to Cite
Issue
Section
License
Authors retain copyright in their work. By submitting to and publishing with Informatica, authors grant the publisher (Slovene Society Informatika) the non-exclusive right to publish, reproduce, and distribute the article and to identify itself as the original publisher.
All articles are published under the Creative Commons Attribution license CC BY 3.0. Under this license, others may share and adapt the work for any purpose, provided appropriate credit is given and changes (if any) are indicated.
Authors may deposit and share the submitted version, accepted manuscript, and published version, provided the original publication in Informatica is properly cited.
