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Curve Extrapolation and Data Analysis Using the Method of Hurwitz-Radon Matrices Cover

Curve Extrapolation and Data Analysis Using the Method of Hurwitz-Radon Matrices

Open Access
|Dec 2011

Abstract

Data analysis needs suitable methods of curve extrapolation. The proposed method of Hurwitz-Radon Matrices (MHR) can be used in extrapolation and interpolation of curves in the plane. For example, quotations from the Stock Exchange, the market prices or currency rates form a curve. This paper presents the way of data anticipation and extrapolation via the MHR method and decision making: to buy or not, to sell or not. The proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operator of Hurwitz-Radon (OHR), built from these matrices, is described. Two-dimensional data are represented by the set of curve points. It is shown how to create the orthogonal and discrete OHR and how to use it in a process of data foreseeing and extrapolation. The MHR method interpolates and extrapolates the curve point by point without using any formula or function.

DOI: https://doi.org/10.2478/v10031-010-0006-6 | Journal eISSN: 1898-0198 | Journal ISSN: 1730-4237
Language: English
Page range: 121 - 138
Published on: Dec 21, 2011
Published by: University of Szczecin
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2011 Dariusz Jakóbczak, published by University of Szczecin
This work is licensed under the Creative Commons License.

Volume 9 (2010): Issue 1 (January 2010)