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Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems

Received: 4 February 2023    Accepted: 27 February 2023    Published: 9 March 2023
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Abstract

This paper explores the application of statistical inference using entropy to characterize the transfer of data across financial systems. The transfer of data between financial systems is a critical process that affects the accuracy and reliability of financial information. In this study, we propose a new approach to quantify the amount of information transferred between two financial systems based on entropy measures. Specifically, we use Transfer entropy to measure the information content of data transferred between financial systems. The Kullback-Leibler separation of conditional probabilities is a design statistic known as Transfer entropy. This method enables the determination, measurement, and testing of information transmission without being limited to linear movements. We demonstrate the effectiveness of our approach by analyzing using this empirical technique, the importance of the borrowing exchange industry in comparison to the exchanges for debt securities. In addition to this, this paper investigates the greater connectivity that exists among operational risks, as represented, respectively, by iTraxx and VIX Europe. We show that our entropy-based approach can detect changes in the information content of data transferred between the two exchanges, which can be indicative of changes in market conditions or the behavior of market participants. Overall, this study highlights the potential of entropy-based statistical inference methods for characterizing the transfer of data across financial systems. This approach has the potential to provide valuable insights into the behavior of financial markets and the efficiency of financial systems, which can inform policy decisions and improve the accuracy and reliability of financial information.

Published in International Journal of Business and Economics Research (Volume 12, Issue 2)
DOI 10.11648/j.ijber.20231202.12
Page(s) 54-60
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Transfer Entropy, The Kullback-Leibler Divergence, iTraxx, VIX

References
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[2] Granger, C. W. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrical: journal of the Econometric Society, 424-438.
[3] Hasbrouck, J. (1995). One security, many markets: Determining the contributions to price discovery. The journal of Finance, 50 (4), 1175-1199.
[4] Kwon, O., & Yang, J. S. (2008a). Information flow between composite stock index and individual stocks. Physica A: Statistical Mechanics and its Applications, 387 (12), 2851-2856.
[5] Baek, S. K., Jung, W. S., Kwon, O., & Moon, H. T. (2005). Transfer entropy analysis of the stock market. arXiv preprint physics/0509014.
[6] Reddy, Y. V., & Sebastin, A. (2008). Are commodity and stock markets independent of each other? A case study in India. The Journal of Alternative Investments, 11 (3), 85-99.
[7] Horowitz, J. L. (2003). Bootstrap methods for Markov processes. Econometrica, 71 (4), 1049-1082.
[8] Hartley, R. V. (1928). Transmission of information 1. Bell System technical journal, 7 (3), 535-563.
[9] Kullback, S., & Leibler, R. A. (1951). On information and sufficiency. The annals of mathematical statistics, 22 (1), 79-86.
[10] Marschinski, R., & Kantz, H. (2002). Analysing the information flow between financial time series. The European Physical Journal B-Condensed Matter and Complex Systems, 30 (2), 275-281.
[11] Kuang, P. C. (2021). Measuring information flow among international stock markets: An approach of entropy-based networks on multi time-scales. Physica A: Statistical Mechanics and its Applications, 577, 126068.
[12] Liu, F., Fan, H. Y., & Qi, J. Y. (2022). Blockchain technology, cryptocurrency: entropy-based perspective. Entropy, 24 (4), 557.
[13] Coudert, V., & Gex, M. (2010). Credit default swap and bond markets: which leads the other. Financial Stability Review, 14, 161-167.
[14] Merton, R. C. (1974). On the pricing of corporate debt: The risk structure of interest rates. The Journal of finance, 29 (2), 449-470.
[15] Byström, H. N. (2005). Credit default swaps and equity prices: The iTraxx CDS index market. Department of Economics.
[16] Longstaff, F. A., Pan, J., Pedersen, L. H., & Singleton, K. J. (2011). How sovereign is sovereign credit risk? American Economic Journal: Macroeconomics, 3 (2), 75-103.
[17] Collin-Dufresn, Pierre, Robert S. Goldstein, and J. Spencer Martin. "The determinants of credit spread changes." The Journal of Finance 56, no. 6 (2001): 2177-2207.
[18] Pan, J., & Singleton, K. J. (2008). Default and recovery implicit in the term structure of sovereign CDS spreads. The Journal of Finance, 63 (5), 2345-2384.
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  • APA Style

    Omoyeni Ogundipe. (2023). Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems. International Journal of Business and Economics Research, 12(2), 54-60. https://doi.org/10.11648/j.ijber.20231202.12

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    ACS Style

    Omoyeni Ogundipe. Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems. Int. J. Bus. Econ. Res. 2023, 12(2), 54-60. doi: 10.11648/j.ijber.20231202.12

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    AMA Style

    Omoyeni Ogundipe. Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems. Int J Bus Econ Res. 2023;12(2):54-60. doi: 10.11648/j.ijber.20231202.12

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  • @article{10.11648/j.ijber.20231202.12,
      author = {Omoyeni Ogundipe},
      title = {Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems},
      journal = {International Journal of Business and Economics Research},
      volume = {12},
      number = {2},
      pages = {54-60},
      doi = {10.11648/j.ijber.20231202.12},
      url = {https://doi.org/10.11648/j.ijber.20231202.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijber.20231202.12},
      abstract = {This paper explores the application of statistical inference using entropy to characterize the transfer of data across financial systems. The transfer of data between financial systems is a critical process that affects the accuracy and reliability of financial information. In this study, we propose a new approach to quantify the amount of information transferred between two financial systems based on entropy measures. Specifically, we use Transfer entropy to measure the information content of data transferred between financial systems. The Kullback-Leibler separation of conditional probabilities is a design statistic known as Transfer entropy. This method enables the determination, measurement, and testing of information transmission without being limited to linear movements. We demonstrate the effectiveness of our approach by analyzing using this empirical technique, the importance of the borrowing exchange industry in comparison to the exchanges for debt securities. In addition to this, this paper investigates the greater connectivity that exists among operational risks, as represented, respectively, by iTraxx and VIX Europe. We show that our entropy-based approach can detect changes in the information content of data transferred between the two exchanges, which can be indicative of changes in market conditions or the behavior of market participants. Overall, this study highlights the potential of entropy-based statistical inference methods for characterizing the transfer of data across financial systems. This approach has the potential to provide valuable insights into the behavior of financial markets and the efficiency of financial systems, which can inform policy decisions and improve the accuracy and reliability of financial information.},
     year = {2023}
    }
    

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  • TY  - JOUR
    T1  - Application of Statistical Inference Using Entropy to Characterize the Transfer of Data Across Financial Systems
    AU  - Omoyeni Ogundipe
    Y1  - 2023/03/09
    PY  - 2023
    N1  - https://doi.org/10.11648/j.ijber.20231202.12
    DO  - 10.11648/j.ijber.20231202.12
    T2  - International Journal of Business and Economics Research
    JF  - International Journal of Business and Economics Research
    JO  - International Journal of Business and Economics Research
    SP  - 54
    EP  - 60
    PB  - Science Publishing Group
    SN  - 2328-756X
    UR  - https://doi.org/10.11648/j.ijber.20231202.12
    AB  - This paper explores the application of statistical inference using entropy to characterize the transfer of data across financial systems. The transfer of data between financial systems is a critical process that affects the accuracy and reliability of financial information. In this study, we propose a new approach to quantify the amount of information transferred between two financial systems based on entropy measures. Specifically, we use Transfer entropy to measure the information content of data transferred between financial systems. The Kullback-Leibler separation of conditional probabilities is a design statistic known as Transfer entropy. This method enables the determination, measurement, and testing of information transmission without being limited to linear movements. We demonstrate the effectiveness of our approach by analyzing using this empirical technique, the importance of the borrowing exchange industry in comparison to the exchanges for debt securities. In addition to this, this paper investigates the greater connectivity that exists among operational risks, as represented, respectively, by iTraxx and VIX Europe. We show that our entropy-based approach can detect changes in the information content of data transferred between the two exchanges, which can be indicative of changes in market conditions or the behavior of market participants. Overall, this study highlights the potential of entropy-based statistical inference methods for characterizing the transfer of data across financial systems. This approach has the potential to provide valuable insights into the behavior of financial markets and the efficiency of financial systems, which can inform policy decisions and improve the accuracy and reliability of financial information.
    VL  - 12
    IS  - 2
    ER  - 

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Author Information
  • Department of Mathematics and Statistics, Austin Peay State University, Clarksville, USA

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