Proceedings of the 2019 7th International Conference on Modeling, Development and Strategic Management of Economic System (MDSM 2019
DOI: 10.2991/mdsmes-19.2019.73
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Recurrence entropy and financial crashes

Abstract: Entropy is one of the most frequently and effectively used measure of the complexity of systems of various nature. And if the Shannon's canonical entropy is more a measure of the randomness of the system, then the approximate, sample, permutation and other new type entropy that have appeared recently, exploiting the Shannon entropy form have allowed us to quantify the complexity of the systems in question using fast and efficient algorithms. For the first time, a new type of recurrence entropy is used to analy… Show more

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Cited by 10 publications
(5 citation statements)
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“…It is necessary to allocate several scientific articles focusing the modeling of financial markets and identification of crisis periods with the use of economic and other interdisciplinary methods. These articles prove the effectiveness of entropy methods, network models, the Heisenberg uncertainty principle, scale-dependent Lyapunov indicators and other approaches for detecting and predicting crisis phenomena (See, e.g., Soloviev and Saptsin, 2011;Soloviev and Belinskij, 2018;Soloviev et al, 2019;Danylchuk et al, 2016;Danylchuk et al, 2019;Danylchuk et al, 2020).…”
Section: Introductionmentioning
confidence: 86%
“…It is necessary to allocate several scientific articles focusing the modeling of financial markets and identification of crisis periods with the use of economic and other interdisciplinary methods. These articles prove the effectiveness of entropy methods, network models, the Heisenberg uncertainty principle, scale-dependent Lyapunov indicators and other approaches for detecting and predicting crisis phenomena (See, e.g., Soloviev and Saptsin, 2011;Soloviev and Belinskij, 2018;Soloviev et al, 2019;Danylchuk et al, 2016;Danylchuk et al, 2019;Danylchuk et al, 2020).…”
Section: Introductionmentioning
confidence: 86%
“…At the moment, there are various research papers on what crises and crashes are and how to classify such interruptions in the market of cryptocurrencies. Taking into account the experience of previous researchers and our own [25,26,27,28,29,30,31,32,33,34,35,36], we present our classification of such leaps and falls from the previous articles [28,29,30,33] on the cryptocurrency topic, relying on Bitcoin time series during the period (01.01.2013 -09.04.2020) of verifiable fixed daily values of the Bitcoin price (BTC) (https://finance.yahoo. com/cryptocurrencies).…”
Section: Data Preparation and Classificationmentioning
confidence: 99%
“…These studies [74,75] consider that measures of financial and macroeconomic activity can be drivers of Bitcoin returns. Reviewing papers of the researches above, the experience of others and our own [76][77][78][79][80][81][82][83][84][85], we have revised our classification of such leaps and falls, relying on Bitcoin time series during the entire period (01.01.2011-21.01.2021) of verifiable fixed daily values of the Bitcoin price (BTC) (https://finance.yahoo.com/cryptocurrencies). We emphasize that • crashes are short and time-localized drops that last approximately two weeks, with the weighty losing of price each day.…”
Section: Data and Classificationmentioning
confidence: 99%
“…The corresponding measure of entropy is related to the recurrence properties that may be peculiar for the nonlinear complex system and important class of recurrence quantifiers are those that try to capture the level of complexity of a signal [78,84,297]. In accordance with this study, the entropy diagonal line histogram (DLEn) is of the greatest interest which uses the Shannon entropy of the distribution of diagonal lines P(l) to determine the complexity of the diagonal structures within the recurrence plot.…”
Section: Chaos Recurrent Measuresmentioning
confidence: 99%