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New Proposals of a Stress Measure in a Capital and its Robust Estimator

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  • Tadeusz Klecha
  • Daniel Kosiorowski
  • Dominik Mielczarek
  • Jerzy P. Rydlewski

Abstract

In this paper a novel approach for a measurement of stresses in a capital, which induce the capital flows between economic systems, is proposed. The proposals appeal to an apparatus offered by the statistical theory of shape. We propose a stress functional basing on a concept of mean shape determined by representative particles of a capital carrier. We also propose methods of describing changes in an amount and a structure of stresses in a capital appealing, among others, to a Bookstein's pair of thin plain spline deformation, and a measure of a shape variability. We apply our approach to an indirect verification of the hypothesis according to which a capital flow between economic systems is related to an activity of an inner force related to stresses in a capital. We indicate, that the stresses create a phenomenon analogous to the heat, which may be interpreted in terms of a positive economic external effect, which attracts a capital from environment of a system to the system. For empirical studies we propose robust approach to estimate the stress functional basing on the data depth concept. In the empirical research we use data on five branch stock indexes from Warsaw Stock Exchange. The studied period involves the financial crisis of 2007.

Suggested Citation

  • Tadeusz Klecha & Daniel Kosiorowski & Dominik Mielczarek & Jerzy P. Rydlewski, 2018. "New Proposals of a Stress Measure in a Capital and its Robust Estimator," Papers 1802.03756, arXiv.org.
  • Handle: RePEc:arx:papers:1802.03756
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    File URL: http://arxiv.org/pdf/1802.03756
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    References listed on IDEAS

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    3. Anderson, Heather M. & Vahid, Farshid, 1998. "Testing multiple equation systems for common nonlinear components," Journal of Econometrics, Elsevier, vol. 84(1), pages 1-36, May.
    4. Rydlewski, Jerzy P. & Snarska, Małgorzata, 2014. "On geometric ergodicity of skewed—SVCHARME models," Statistics & Probability Letters, Elsevier, vol. 84(C), pages 192-197.
    5. Khurshid M. Kiani & Prasad V. Bidarkota, 2004. "On Business Cycle Asymmetries in G7 Countries," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 333-351, July.
    6. Galeano, Pedro & Pena, Daniel & Tsay, Ruey S., 2006. "Outlier Detection in Multivariate Time Series by Projection Pursuit," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 654-669, June.
    7. Dua, Pami & Tuteja, Divya, 2016. "Financial crises and dynamic linkages across international stock and currency markets," Economic Modelling, Elsevier, vol. 59(C), pages 249-261.
    8. Christoph Görtz & John D. Tsoukalas, 2017. "News and Financial Intermediation in Aggregate Fluctuations," The Review of Economics and Statistics, MIT Press, vol. 99(3), pages 514-530, July.
    9. Khurshid Kiani, 2011. "Fluctuations in Economic and Activity and Stabilization Policies in the CIS," Computational Economics, Springer;Society for Computational Economics, vol. 37(2), pages 193-220, February.
    10. López-Pintado, Sara & Romo, Juan, 2009. "On the Concept of Depth for Functional Data," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 718-734.
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