Mutual information between Polish subindexes : the use of copula entropy around the time of the COVID-19 pandemic

2024
journal article
article
dc.abstract.enIn this paper, the copula theory is used to describe the dependence structure between variables, while the information theory provides the tools necessary to measure the uncertainty associated with these variables. What both theories have in common is copula entropy, which is strictly related to mutual information. The findings of this study, focusing on the dependence of the (sub)indexes of the Polish stock market during the pandemic period, may prove useful not only to investors from Poland, but also from other countries, especially Central European, in making investment decisions. The results of calculating the interdependencies between WIG, sectoral indexes and among sectoral indexes of the Polish economy using copula entropy and Pearson’s correlation are quite different. The source of the basic difference between copula entropy and Pearson’s correlation is that the former enables the measurement of nonlinear interdependencies, while the latter not. The interrelations on the stock markets are nonlinear and returns are not normally distributed in general. The use of copulas is also superior in terms of ranking correlation, as it is more general and allows the examination of the structure of dependencies between extreme values.
dc.affiliationWydział Zarządzania i Komunikacji Społecznej : Instytut Ekonomii, Finansów i Zarządzania
dc.contributor.authorGurgul, Henryk
dc.contributor.authorSyrek, Robert - 227829
dc.date.accession2024-04-19
dc.date.accessioned2024-05-06T14:58:12Z
dc.date.available2024-05-06T14:58:12Z
dc.date.issued2024
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number1
dc.description.physical23-41
dc.description.versionostateczna wersja wydawcy
dc.description.volume25
dc.identifier.doi10.59170/stattrans-2024-002
dc.identifier.issn1234-7655
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/333359
dc.identifier.weblinkhttps://sit.stat.gov.pl/SiT/2024/1/gus_sit_2024_01_henryk_gurgul_robert_syrek_mutual_information_between_polish_subindexes.pdf
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa - Na tych samych warunkach 4.0 Międzynarodowa
dc.rights.licenceCC-BY-SA
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/legalcode.pl
dc.share.typeotwarte czasopismo
dc.source.integratorfalse
dc.subject.enPolish subindexes
dc.subject.enCOVID-19 pandemic
dc.subject.enmutual information
dc.subject.encopula entropy
dc.subtypeArticle
dc.titleMutual information between Polish subindexes : the use of copula entropy around the time of the COVID-19 pandemic
dc.title.journalStatistics in Transition
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
In this paper, the copula theory is used to describe the dependence structure between variables, while the information theory provides the tools necessary to measure the uncertainty associated with these variables. What both theories have in common is copula entropy, which is strictly related to mutual information. The findings of this study, focusing on the dependence of the (sub)indexes of the Polish stock market during the pandemic period, may prove useful not only to investors from Poland, but also from other countries, especially Central European, in making investment decisions. The results of calculating the interdependencies between WIG, sectoral indexes and among sectoral indexes of the Polish economy using copula entropy and Pearson’s correlation are quite different. The source of the basic difference between copula entropy and Pearson’s correlation is that the former enables the measurement of nonlinear interdependencies, while the latter not. The interrelations on the stock markets are nonlinear and returns are not normally distributed in general. The use of copulas is also superior in terms of ranking correlation, as it is more general and allows the examination of the structure of dependencies between extreme values.
dc.affiliation
Wydział Zarządzania i Komunikacji Społecznej : Instytut Ekonomii, Finansów i Zarządzania
dc.contributor.author
Gurgul, Henryk
dc.contributor.author
Syrek, Robert - 227829
dc.date.accession
2024-04-19
dc.date.accessioned
2024-05-06T14:58:12Z
dc.date.available
2024-05-06T14:58:12Z
dc.date.issued
2024
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
1
dc.description.physical
23-41
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
25
dc.identifier.doi
10.59170/stattrans-2024-002
dc.identifier.issn
1234-7655
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/333359
dc.identifier.weblink
https://sit.stat.gov.pl/SiT/2024/1/gus_sit_2024_01_henryk_gurgul_robert_syrek_mutual_information_between_polish_subindexes.pdf
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa - Na tych samych warunkach 4.0 Międzynarodowa
dc.rights.licence
CC-BY-SA
dc.rights.uri
https://creativecommons.org/licenses/by-sa/4.0/legalcode.pl
dc.share.type
otwarte czasopismo
dc.source.integrator
false
dc.subject.en
Polish subindexes
dc.subject.en
COVID-19 pandemic
dc.subject.en
mutual information
dc.subject.en
copula entropy
dc.subtype
Article
dc.title
Mutual information between Polish subindexes : the use of copula entropy around the time of the COVID-19 pandemic
dc.title.journal
Statistics in Transition
dc.type
JournalArticle
dspace.entity.typeen
Publication
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