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Pattern classification using polynomial and linear regression

Author

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  • Ciuiu, Daniel

Abstract

In this paper we will classify patterns using an algorithm analogous to the k-means algorithm and the regression polynomial of the degree k (for instance, if k=1 we obtain the regression line, and if k=2 we obtain the regression parable), and the regression hyper-plane. We will also present a financial application in which we apply these regressions if the points represent the interests for accounts with different terms.

Suggested Citation

  • Ciuiu, Daniel, 2008. "Pattern classification using polynomial and linear regression," MPRA Paper 15355, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:15355
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    File URL: https://mpra.ub.uni-muenchen.de/15355/1/MPRA_paper_15355.pdf
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    References listed on IDEAS

    as
    1. Barro, Robert J. & Gordon, David B., 1983. "Rules, discretion and reputation in a model of monetary policy," Journal of Monetary Economics, Elsevier, vol. 12(1), pages 101-121.
    2. Anne Marie Gulde & Juha Kähkönen & Peter M Keller, 2000. "Pros and Cons of Currency Board Arrangements in the Lead-Up to EU Accession and Participation in the Euro Zone," IMF Policy Discussion Papers 00/1, International Monetary Fund.
    3. Francois R. Velde & Marcelo Veracierto, 2000. "Dollarization in Argentina," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q I, pages 24-37.
    4. Atish R. Ghosh, 1998. "Currency Boards; The Ultimate Fix?," IMF Working Papers 98/8, International Monetary Fund.
    5. Robert Mundell, 2000. "Currency Areas, Exchange Rate Systems and International Monetary Reform," Journal of Applied Economics, Universidad del CEMA, vol. 3, pages 217-256, November.
    6. Eduardo Borensztein & Andrew Berg, 2000. "The Pros and Cons of Full Dollarization," IMF Working Papers 00/50, International Monetary Fund.
    7. Carlos E. Zarazaga, 1995. "Argentina, Mexico, and currency boards: another case of rules versus discretion," Economic and Financial Policy Review, Federal Reserve Bank of Dallas, issue Q IV, pages 14-24.
    8. Roberto Chang, 2000. "Dollarization: a scorecard," Economic Review, Federal Reserve Bank of Atlanta, issue Q3, pages 1-12.
    9. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Citations

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    Cited by:

    1. Ciuiu, Daniel, 2008. "On Jarque-Bera normality test," Working Papers of Macroeconomic Modelling Seminar 081802, Institute for Economic Forecasting.
    2. Ciuiu, Daniel, 2008. "Pattern Classification Using Secondary Components Perceptron and Economic Applications," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 5(2), pages 51-66, June.
    3. Ciuiu, Daniel, 2010. "Modeling the fraud-like investment founds by Petri nets," MPRA Paper 23589, University Library of Munich, Germany, revised May 2010.
    4. Ciuiu, Daniel, 2010. "Informational Criteria for the Homoscedasticity of Errors," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 231-244, July.

    More about this item

    Keywords

    Regression; pattern classification; k-means;

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E51 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Money Supply; Credit; Money Multipliers
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics

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