Re-examining the sources of heteroskedasticity: The paradigm of noisy chaotic models
In this paper, we analyze the rich dynamic properties of the noisy chaotic model developed by Kyrtsou [C. Kyrtsou, Evidence for neglected linearity in noisy chaotic models, International Journal of Bifurcation and Chaos 15 (10) (2005)] considering homoskedastic errors, with the aim of deriving information about possible links between noisy chaotic dynamics and ARCH effects. With the joint application of the Engle [R.F. Engle, Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation, Econometrica 50 (1982) 987–1007] and McLeod–Li [A.I. McLeod, W.K. Li, Diagnostic checking ARMA time series models using squared-residuals autocorrelations, Journal of Time Series Analysis 4 (1983) 269–273] tests for non-linearity in the second moment, we attempt to show how highly non-linear models can exhibit heteroskedasticity when no heteroskedastic structure is assumed by construction.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 387 (2008)
Issue (Month): 27 ()
|Contact details of provider:|| Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/|
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Gabaix, Xavier & Gopikrishnan, Parameswaran & Plerou, Vasiliki & Eugene Stanley, H., 2008. "Quantifying and understanding the economics of large financial movements," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 303-319, January.
- Andrew P. Blake & George Kapetanios, 2003.
"Testing for ARCH in the Presence of Nonlinearity of Unknown Form in the Conditional Mean,"
496, Queen Mary University of London, School of Economics and Finance.
- Blake, Andrew P. & Kapetanios, George, 2007. "Testing for ARCH in the presence of nonlinearity of unknown form in the conditional mean," Journal of Econometrics, Elsevier, vol. 137(2), pages 472-488, April.
- Simone Alfarano & Thomas Lux & Friedrich Wagner, 2006.
"Time-Variation of Higher Moments in a Financial Market with Heterogeneous Agents: An Analytical Approach,"
wpn06-01, Warwick Business School, Finance Group.
- Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2008. "Time variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Journal of Economic Dynamics and Control, Elsevier, vol. 32(1), pages 101-136, January.
- Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2005. "Time-variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Economics Working Papers 2005,14, Christian-Albrechts-University of Kiel, Department of Economics.
- Alfarano, Simone & Lux, Thomas & Wagner, Friedrich, 2006. "Time-variation of higher moments in a financial market with heterogeneous agents: An analytical approach," Economics Working Papers 2006,16, Christian-Albrechts-University of Kiel, Department of Economics.
- Friedrich Wagner & Thomas Lux & Simone Alfarano, 2005. "Time-Variation of Higher Moments in a Financial Market with Heterogeneous Agents: An Analytical Approach," Working Papers wp05-02, Warwick Business School, Finance Group.
- Bera, Anil K & Higgins, Matthew L & Lee, Sangkyu, 1992. "Interaction between Autocorrelation and Conditional Heteroscedasticity: A Random-Coefficient Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(2), pages 133-142, April.
- C. H. Hommes, 2001.
"Financial markets as nonlinear adaptive evolutionary systems,"
Taylor & Francis Journals, vol. 1(1), pages 149-167.
- Hommes, C.H., 2000. "Financial Markets as Nonlinear Adaptive Evolutionary Systems," CeNDEF Working Papers 00-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Cars H. Hommes, 2001. "Financial Markets as Nonlinear Adaptive Evolutionary Systems," Tinbergen Institute Discussion Papers 01-014/1, Tinbergen Institute.
- Hommes, Cars H., 2006.
"Heterogeneous Agent Models in Economics and Finance,"
Handbook of Computational Economics,
in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186
- Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
- Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2006.
"Institutional Investors and Stock Market Volatility,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 121(2), pages 461-504.
- Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2005. "Institutional Investors and Stock Market Volatility," NBER Working Papers 11722, National Bureau of Economic Research, Inc.
- Robin L. Lumsdaine & Serena Ng, 1998.
"Testing for ARCH in the Presence of a Possibly Misspecified Conditional Mean,"
Boston College Working Papers in Economics
370, Boston College Department of Economics.
- Lumsdaine, Robin L. & Ng, Serena, 1999. "Testing for ARCH in the presence of a possibly misspecified conditional mean," Journal of Econometrics, Elsevier, vol. 93(2), pages 257-279, December.
- James Theiler & Stephen Eubank, 1993. "Don't Bleach Chaotic Data," Working Papers 93-05-026, Santa Fe Institute.
- Kyrtsou, Catherine & Labys, Walter C., 2007. "Detecting positive feedback in multivariate time series: The case of metal prices and US inflation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 227-229.
- Hommes, Cars H. & Manzan, Sebastiano, 2006. "Comments on "Testing for nonlinear structure and chaos in economic time series"," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 169-174, March.
- Kyrtsou, Catherine & Labys, Walter C., 2006. "Evidence for chaotic dependence between US inflation and commodity prices," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 256-266, March.
- Robert F. Engle & David F. Hendry & David Trumble, 1985. "Small-Sample Properties of ARCH Estimators and Tests," Canadian Journal of Economics, Canadian Economics Association, vol. 18(1), pages 66-93, February.
- Diks, Cees, 2006. "Comments on "Global sunspots in OLG models"," Journal of Macroeconomics, Elsevier, vol. 28(1), pages 46-50, March.
- Stanley, H. Eugene & Plerou, Vasiliki & Gabaix, Xavier, 2008. "A statistical physics view of financial fluctuations: Evidence for scaling and universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3967-3981.
- Catherine Kyrtsou & Michel Terraza, 2003. "Is it Possible to Study Chaotic and ARCH Behaviour Jointly? Application of a Noisy Mackey–Glass Equation with Heteroskedastic Errors to the Paris Stock Exchange Returns Series," Computational Economics, Springer;Society for Computational Economics, vol. 21(3), pages 257-276, June.
- Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
- Chiarella, Carl & He, Xue-Zhong & Hommes, Cars, 2006. "Moving average rules as a source of market instability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(1), pages 12-17.
When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:387:y:2008:i:27:p:6785-6789. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.