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Assessing symmetry of financial returns series

Author

Listed:
  • Coronel-Brizio, H.F.
  • Hernández-Montoya, A.R.
  • Huerta-Quintanilla, R.
  • Rodríguez-Achach, M.

Abstract

Testing symmetry of a probability distribution is a common question arising from applications in several fields. Particularly, in the study of observables used in the analysis of stock market index variations, the question of symmetry has not been fully investigated by means of statistical procedures. In this work a distribution-free test statistic Tn for testing symmetry, derived by Einmahl and McKeague, based on the empirical likelihood approach, is used to address the study of symmetry of financial returns. The asymptotic points of the test statistic Tn are also calculated and a procedure for assessing symmetry for the analysis of the returns of stock market indices is presented.

Suggested Citation

  • Coronel-Brizio, H.F. & Hernández-Montoya, A.R. & Huerta-Quintanilla, R. & Rodríguez-Achach, M., 2007. "Assessing symmetry of financial returns series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(1), pages 5-9.
    • Handle: RePEc:eee:phsmap:v:383:y:2007:i:1:p:5-9
    DOI: 10.1016/j.physa.2007.04.122
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    References listed on IDEAS

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    1. Einmahl, J.H.J. & McKeague, I.W., 2002. "Empirical Likelihood based on Hypothesis Testing," Other publications TiSEM 402576fa-8c0e-45e2-a394-8, Tilburg University, School of Economics and Management.
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    1. C. M. Rodr'iguez-Mart'inez & H. F. Coronel-Brizio & A. R. Hern'andez-Montoya, 2019. "A multi-scale symmetry analysis of uninterrupted trends returns of daily financial indices," Papers 1908.11204, arXiv.org.
    2. Marcin Wk{a}torek & Jaros{l}aw Kwapie'n & Stanis{l}aw Dro.zd.z, 2021. "Financial Return Distributions: Past, Present, and COVID-19," Papers 2107.06659, arXiv.org.
    3. Rodríguez-Martínez, C.M. & Coronel-Brizio, H.F. & Hernández-Montoya, A.R., 2021. "A multi-scale symmetry analysis of uninterrupted trends returns in daily financial indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).

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