Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine

Predicting the values of a financial time series is mainly a function of its price history, which depends on several factors, internal and external. With this history, it is possible to build an ∊-machine for predicting the financial time series. This work proposes considering the influence of a fin...

Full description

Bibliographic Details
Main Authors: José Crispín Zavala-Díaz, Joaquín Pérez-Ortega, Nelva Nely Almanza-Ortega, Rodolfo Pazos-Rangel, José María Rodríguez-Lelís
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/8/1049
_version_ 1827600175256829952
author José Crispín Zavala-Díaz
Joaquín Pérez-Ortega
Nelva Nely Almanza-Ortega
Rodolfo Pazos-Rangel
José María Rodríguez-Lelís
author_facet José Crispín Zavala-Díaz
Joaquín Pérez-Ortega
Nelva Nely Almanza-Ortega
Rodolfo Pazos-Rangel
José María Rodríguez-Lelís
author_sort José Crispín Zavala-Díaz
collection DOAJ
description Predicting the values of a financial time series is mainly a function of its price history, which depends on several factors, internal and external. With this history, it is possible to build an ∊-machine for predicting the financial time series. This work proposes considering the influence of a financial series through the transfer of entropy when the values of the other financial series are known. A method is proposed that considers the transfer of entropy for breaking the ties that occur when calculating the prediction with the ∊-machine. This analysis is carried out using data from six financial series: two American, the S&P 500 and the Nasdaq; two Asian, the Hang Seng and the Nikkei 225; and two European, the CAC 40 and the DAX. This work shows that it is possible to influence the prediction of the closing value of a series if the value of the influencing series is known. This work showed that the series that transfer the most information through entropy transfer are the American S&P 500 and Nasdaq, followed by the European DAX and CAC 40, and finally the Asian Nikkei 225 and Hang Seng.
first_indexed 2024-03-09T04:30:14Z
format Article
id doaj.art-cf7a280f9bde465d8fd8031148d746b7
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-03-09T04:30:14Z
publishDate 2022-07-01
publisher MDPI AG
record_format Article
series Entropy
spelling doaj.art-cf7a280f9bde465d8fd8031148d746b72023-12-03T13:36:54ZengMDPI AGEntropy1099-43002022-07-01248104910.3390/e24081049Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-MachineJosé Crispín Zavala-Díaz0Joaquín Pérez-Ortega1Nelva Nely Almanza-Ortega2Rodolfo Pazos-Rangel3José María Rodríguez-Lelís4Faculty of Accounting, Administration and Informatics, Universidad Autónoma del Estado de Morelos, Cuernavaca 62209, MexicoTecnológico Nacional de México/CENIDET, Cuernavaca 62490, MexicoTecnológico Nacional de México/IT de Tlalnepantla, Tlalnepantla de Baz 54070, MexicoTecnológico Nacional de México/IT de Cd. Madero, Ciudad Madero 89440, MexicoTecnológico Nacional de México/CENIDET, Cuernavaca 62490, MexicoPredicting the values of a financial time series is mainly a function of its price history, which depends on several factors, internal and external. With this history, it is possible to build an ∊-machine for predicting the financial time series. This work proposes considering the influence of a financial series through the transfer of entropy when the values of the other financial series are known. A method is proposed that considers the transfer of entropy for breaking the ties that occur when calculating the prediction with the ∊-machine. This analysis is carried out using data from six financial series: two American, the S&P 500 and the Nasdaq; two Asian, the Hang Seng and the Nikkei 225; and two European, the CAC 40 and the DAX. This work shows that it is possible to influence the prediction of the closing value of a series if the value of the influencing series is known. This work showed that the series that transfer the most information through entropy transfer are the American S&P 500 and Nasdaq, followed by the European DAX and CAC 40, and finally the Asian Nikkei 225 and Hang Seng.https://www.mdpi.com/1099-4300/24/8/1049financial seriesShannon entropytransfer entropy
spellingShingle José Crispín Zavala-Díaz
Joaquín Pérez-Ortega
Nelva Nely Almanza-Ortega
Rodolfo Pazos-Rangel
José María Rodríguez-Lelís
Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
Entropy
financial series
Shannon entropy
transfer entropy
title Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
title_full Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
title_fullStr Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
title_full_unstemmed Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
title_short Influence of Transfer Entropy in the Short-Term Prediction of Financial Time Series Using an ∊-Machine
title_sort influence of transfer entropy in the short term prediction of financial time series using an ∊ machine
topic financial series
Shannon entropy
transfer entropy
url https://www.mdpi.com/1099-4300/24/8/1049
work_keys_str_mv AT josecrispinzavaladiaz influenceoftransferentropyintheshorttermpredictionoffinancialtimeseriesusinganmachine
AT joaquinperezortega influenceoftransferentropyintheshorttermpredictionoffinancialtimeseriesusinganmachine
AT nelvanelyalmanzaortega influenceoftransferentropyintheshorttermpredictionoffinancialtimeseriesusinganmachine
AT rodolfopazosrangel influenceoftransferentropyintheshorttermpredictionoffinancialtimeseriesusinganmachine
AT josemariarodriguezlelis influenceoftransferentropyintheshorttermpredictionoffinancialtimeseriesusinganmachine