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Information theoretic approach for accounting classification

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  • Ribeiro, E.M.S.
  • Prataviera, G.A.

Abstract

In this paper we consider an information theoretic approach for the accounting classification process. We propose a matrix formalism and an algorithm for calculations of information theoretic measures associated to accounting classification. The formalism may be useful for further generalizations and computer-based implementation. Information theoretic measures, mutual information and symmetric uncertainty, were evaluated for daily transactions recorded in the chart of accounts of a small company during two years. Variation in the information measures due the aggregation of data in the process of accounting classification is observed. In particular, the symmetric uncertainty seems to be a useful parameter for comparing companies over time or in different sectors or different accounting choices and standards.

Suggested Citation

  • Ribeiro, E.M.S. & Prataviera, G.A., 2014. "Information theoretic approach for accounting classification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 651-660.
  • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:651-660
    DOI: 10.1016/j.physa.2014.09.014
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    1. Henri Theil, 1969. "On the use of Information Theory Concepts in the Analysis of Financial Statements," Management Science, INFORMS, vol. 15(9), pages 459-480, May.
    2. Touchette, Hugo & Lloyd, Seth, 2004. "Information-theoretic approach to the study of control systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 140-172.
    3. Navarra, F.S. & Utyuzh, O.V. & Wilk, G. & Włodarczyk, Z., 2004. "Information theory approach (extensive and nonextensive) to high-energy multiparticle production processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 467-476.
    4. Rosso, Osvaldo A. & Craig, Hugh & Moscato, Pablo, 2009. "Shakespeare and other English Renaissance authors as characterized by Information Theory complexity quantifiers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(6), pages 916-926.
    5. Nobes, Christopher, 2004. "On accounting classification and the international harmonisation debate," Accounting, Organizations and Society, Elsevier, vol. 29(2), pages 189-200, February.
    6. Brockett, Patrick L. & Charnes, Abraham & Cooper, William W. & Learner, David & Phillips, Fred Y., 1995. "Information theory as a unifying statistical approach for use in marketing research," European Journal of Operational Research, Elsevier, vol. 84(2), pages 310-329, July.
    7. Dionisio, Andreia & Menezes, Rui & Mendes, Diana A., 2004. "Mutual information: a measure of dependency for nonlinear time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 326-329.
    8. Andreia Dionisio & Rui Menezes & Diana A. Mendes, 2003. "Mutual information: a dependence measure for nonlinear time series," Econometrics 0311003, University Library of Munich, Germany.
    9. Kowalski, A.M. & Plastino, A. & Proto, A.N., 2003. "Information theory and chaotic motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 135-139.
    10. de Oliveira, M. Elias & Menegaldo, L.L. & Lucarelli, P. & Andrade, B.L.B. & Büchler, P., 2011. "On the use of information theory for detecting upper limb motor dysfunction: An application to Parkinson’s disease," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4451-4458.
    11. Epstein, Barry J & King, William R, 1982. "An experimental study of the value of information," Omega, Elsevier, vol. 10(3), pages 249-258.
    12. Ribeiro, A.S. & Riera, R., 2013. "An information-based tool for inferring the nature of deterministic sources in real data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5053-5064.
    13. Curado, E.M.F. & Plastino, A., 2007. "Information theory link between MaxEnt and a key thermodynamic relation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(1), pages 155-166.
    14. Wilhelm, Thomas & Hollunder, Jens, 2007. "Information theoretic description of networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(1), pages 385-396.
    15. Christopher Nobes, 2008. "Accounting Classification in the IFRS Era," Australian Accounting Review, CPA Australia, vol. 18(3), pages 191-198, September.
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    2. Leoneti, A.B. & Prataviera, G.A., 2020. "Entropy-norm space for geometric selection of strict Nash equilibria in n-person games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 546(C).

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