Skip to main content Skip to main navigation menu Skip to site footer
  • Register
  • Login
  • Menu
  • Home
  • Current
  • Archives
  • About
    • About the Journal
    • Submissions
    • Editorial Team
    • Privacy Statement
    • Contact
  • Register
  • Login

Dynamic Econometric Models

Measuring Nonlinear Serial Dependencies Using the Mutual Information Coefficient
  • Home
  • /
  • Measuring Nonlinear Serial Dependencies Using the Mutual Information Coefficient
  1. Home /
  2. Archives /
  3. Vol. 10 (2010) /
  4. Articles

Measuring Nonlinear Serial Dependencies Using the Mutual Information Coefficient

Authors

  • Witold Orzeszko Nicolaus Copernicus University in Toruń

DOI:

https://doi.org/10.12775/DEM.2010.008

Keywords

nonlinearity, mutual information coefficient, mutual information, serial dependencies

Abstract

Construction, estimation and application of the mutual information measure have been presented in this paper. The simulations have been carried out to verify its usefulness to detect nonlinear serial dependencies. Moreover, the mutual information measure has been applied to the indices and the sector sub-indices of the Warsaw Stock Exchange.

References

Barnett W. A., Gallant A. R., Hinich M. J., Jungeilges J. A., Kaplan D., Jensen M. J. (1998), A Single-blind Controlled Competition among Tests for Nonlinearity and Chaos, Journal of Econometrics, 82.1, 157–192.

Bruzda J. (2004), Miary zależności nieliniowej w identyfikacji nieliniowych procesów ekonomicznych (Measures of nonlinear relationship in identification of nonlinear economic processes), Acta Universitatis Nicolai Copernici, 34, 183–203.

Darbellay G.A, Wuertz D. (2000), The entropy as a tool for analysing statistical dependencies in financial time series, Physica A, 287, 429–439.

Dionisio A., Menezes R., Mendes D.A. (2003), Mutual Information: a Dependence Measure for Nonlinear Time Series, Working Paper, http://129.3.20.41/eps/em/papers/0311//0311003.pdf (10.02.2010).

Fonseca N., Crovella M., Salamatian K. (2008), Long Range Mutual Information, Proceedings of the First Workshop on Hot Topics in Measurement and Modeling of Computer Systems (Hotmetrics ’08), Annapolis.

Fraser A.M., Swinney H.L. (1986), Independent Coordinates for Strange Attractors from Mutual Information, Physical Review A, 33.2, 1134–1140.

Granger C. W. J., Terasvirta T. (1993), Modelling Nonlinear Economic Relationship, Oxford University Press, Oxford.

Granger C. W. J., Lin J-L. (1994), Using the Mutual Information Coefficient to Identify Lags in Nonlinear Models, Journal of Time Series Analysis, 15, 371–384.

Maasoumi E., Racine J. (2002), Entropy and Predictability of Stock Market Returns, Journal of Econometric”, 107, 291–312. DOI: http://dx.doi.org/10.1016/S0304-4076(01)00125-7

Orzeszko W. (2010), Detection of Nonlinear Autodependencies Using Hiemstra-Jones Test, Financial Markets. Principles of Modeling, Forecasting and Decision-Making, eds. Milo W., Szafrański G., Wdowiński P., 157–170.

Dynamic Econometric Models

Downloads

  • PDF

Published

2010-07-17

How to Cite

1.
ORZESZKO, Witold. Measuring Nonlinear Serial Dependencies Using the Mutual Information Coefficient. Dynamic Econometric Models. Online. 17 July 2010. Vol. 10, pp. 97-106. [Accessed 4 July 2025]. DOI 10.12775/DEM.2010.008.
  • ISO 690
  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver
Download Citation
  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Issue

Vol. 10 (2010)

Section

Articles

License

The journal provides an Open Access to its content based on the non-exclusive licence Creative Commons (CC BY-ND 4.0).

To enable the publisher to disseminate the author's work to the fullest extent, the author must agrees to the terms and conditions of the License Agreement with Nicolaus Copernicus University.

Stats

Number of views and downloads: 457
Number of citations: 0

Search

Search

Browse

  • Browse Author Index
  • Issue archive

User

User

Current Issue

  • Atom logo
  • RSS2 logo
  • RSS1 logo

Information

  • For Authors

Newsletter

Subscribe Unsubscribe

Tags

Search using one of provided tags:

nonlinearity, mutual information coefficient, mutual information, serial dependencies
Up

Akademicka Platforma Czasopism

Najlepsze czasopisma naukowe i akademickie w jednym miejscu

apcz.umk.pl

Partners

  • Akademia Ignatianum w Krakowie
  • Akademickie Towarzystwo Andragogiczne
  • Fundacja Copernicus na rzecz Rozwoju Badań Naukowych
  • Instytut Historii im. Tadeusza Manteuffla Polskiej Akademii Nauk
  • Instytut Kultur Śródziemnomorskich i Orientalnych PAN
  • Instytut Tomistyczny
  • Karmelitański Instytut Duchowości w Krakowie
  • Ministerstwo Kultury i Dziedzictwa Narodowego
  • Państwowa Akademia Nauk Stosowanych w Krośnie
  • Państwowa Akademia Nauk Stosowanych we Włocławku
  • Państwowa Wyższa Szkoła Zawodowa im. Stanisława Pigonia w Krośnie
  • Polska Fundacja Przemysłu Kosmicznego
  • Polskie Towarzystwo Ekonomiczne
  • Polskie Towarzystwo Ludoznawcze
  • Towarzystwo Miłośników Torunia
  • Towarzystwo Naukowe w Toruniu
  • Uniwersytet im. Adama Mickiewicza w Poznaniu
  • Uniwersytet Komisji Edukacji Narodowej w Krakowie
  • Uniwersytet Mikołaja Kopernika
  • Uniwersytet w Białymstoku
  • Uniwersytet Warszawski
  • Wojewódzka Biblioteka Publiczna - Książnica Kopernikańska
  • Wyższe Seminarium Duchowne w Pelplinie / Wydawnictwo Diecezjalne „Bernardinum" w Pelplinie

© 2021- Nicolaus Copernicus University Accessibility statement Shop