Abstract
In this work is presented the total least squares algorithm and its application in the economic field, whose calculation can be performed using certain software packages. This approach can be also used to analyze the dependence between various economic indicators, especially for the situation in which the direction of the causality between the model variables is unknown. The model is employed for studying the relation between wheat market prices for three Romanian historical regions, which are some of the most important cereal producers for Romania. The final result consists in a unified formula, which provides a global pattern of the national wheat market as a whole.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bifulco, I., Raiconi, G., Scarpa, T.: Computer Algebra Software for Least Squares and Total Least Norm Inversion of Geophysical Models. Computers & Geosciences 35, 1427–1438 (2009)
De Groen, P.: An Introduction to Total Least Squares. Nieuw Archief Voor Wiskunde, Vierde Serie 14, 237–253 (1996)
Golub, G.H., Van Loan, C.F.: Matrix Computations. Johns Hopkins University Press, Baltimore (1996)
Iacob, A.I., Popescu, C.C., Dimian, G.C.: Tracking Changes in the Regional Social-Economic Activity by a Geometric Fitting Model: The Romanian Case. In: Pirtea, M., Mazilu, M., Strouhal, J. (eds.) Selected Topics in Economy and Management Transformation, vol. 1, pp. 428–433. WSEAS Press (2010)
Nievergelt, I.: Total Least Squares: State of the Art Regression in Numerical Analysis. SIAM Review 36(2), 258–264 (1994)
Petras, I., Podlubny, I.: Orthogonal Linear Regression in 3D-Space by Using Principal Components Analysis. A Function for MATLAB. MATLAB Central File Exchange (2006)
Petras, I., Podlubny, I.: State Space Description of National Economies: The V4 Countries. Comp. Stat. & Data Anal. 52(2), 1223–1233 (2007)
Pozzi, F.: Orthogonal Linear Least Squares on a Two-Dimensional Plane. MATLAB Central File Exchange (2008)
Ramos, J.A.: Applications of TLS and Related Methods in the Environmental Sciences. Comp. Stat. & Data Anal. 52(2), 1234–1267 (2007)
Strang, G.: Linear Algebra and its Applications. Thomson Learning (1988)
Van Huffel, S., Vanderwalle, J.: The Total Least Squares Problem: Computational Aspects and Analysis. SIAM, Philadelphia (1991)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Iluzia Iacob, A., Popescu, CC. (2011). A Multivariate Mathematical Model to Analyze the Market Prices Correlation at Regional Level. In: Ariwa, E., El-Qawasmeh, E. (eds) Digital Enterprise and Information Systems. DEIS 2011. Communications in Computer and Information Science, vol 194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22603-8_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-22603-8_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22602-1
Online ISBN: 978-3-642-22603-8
eBook Packages: Computer ScienceComputer Science (R0)