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Confidence set for connected stocks of stock market

Author

Listed:
  • Koldanov, A.

    (National Research University Higher School of Economics, Nizhnii Novgorod, Russia)

  • Koldanov, P.

    (National Research University Higher School of Economics, Nizhnii Novgorod, Russia)

  • Semenov, D.

    (National Research University Higher School of Economics, Nizhnii Novgorod, Russia)

Abstract

The problem of analysis of pairwise connections between stocks of financial market by observations on stock returns is considered. Such problem arise in stock market network analysis. It is assumed that joint distribution of stock returns belongs to the wide class of elliptical distributions. Classical Pearson correlation, Fechner correlation and Kendall correlation are used as measure of dependence. The construction problems of sets of stocks with strong connections between its returns are investigated. The construction problems of sets of stocks with strong connections between its returns are investigated. To construct such sets the multiple hypotheses testing procedures on values of correlations are used. The properties of these statistical procedures are investigated by simulations. The simulation results show that procedures based on individual Fechner and Kendall tests lead to such sets of stocks with given confidence probability unlike procedure based on Pearson individual tests which do not control the confidence probability. At the same time it is emphasized that for Student distribution the constructed set is nearly the same to the confidence set. The procedure of consistency testing with elliptical model is proposed and exemplified. The peculiarities of the model are discussed.

Suggested Citation

  • Koldanov, A. & Koldanov, P. & Semenov, D., 2021. "Confidence set for connected stocks of stock market," Journal of the New Economic Association, New Economic Association, vol. 50(2), pages 12-34.
    • Handle: RePEc:nea:journl:y:2021:i:50:p:12-34
    DOI: 10.31737/2221-2264-2021-50-2-1
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    References listed on IDEAS

    as
    1. Kalyagin, V. & Koldanov, A. & Koldanov, P. & Pardalos, P., 2017. "Statistical Procedures for Stock Markets Network Structures Identification," Journal of the New Economic Association, New Economic Association, vol. 35(3), pages 33-52.
    2. Petr Koldanov & Nina Lozgacheva, 2016. "Multiple Testing Of Sign Symmetry For Stock Return Distributions," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 19(08), pages 1-14, December.
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    More about this item

    Keywords

    Network model of stock market; threshold graph; Pearson correlation; Kendall correlation; Fechner correlation; sufficient set; multiple hypotheses testing procedures;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

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