Lévy flights, autocorrelation, and slow convergence
Author
Abstract
Suggested Citation
DOI: 10.1016/j.physa.2004.02.002
Download full text from publisher
As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.
Other versions of this item:
- Sergio Da Silva, 2004. "Levy Flights, Autocorrelation, and Slow Convergence," Finance 0405021, University Library of Munich, Germany.
References listed on IDEAS
- Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2003.
"Autocorrelation as a source of truncated Lévy flights in foreign exchange rates,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 601-625.
- Sergio Da Silva, 2004. "Autocorrelation as a Source of Truncated Levy Flights in Foreign Exchange Rates," Finance 0405018, University Library of Munich, Germany.
- Aleksander Janicki & Aleksander Weron, 1994. "Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook9401, December.
- Peligrad, Magda & Shao, Qi-Man, 1995. "A note on the almost sure central limit theorem for weakly dependent random variables," Statistics & Probability Letters, Elsevier, vol. 22(2), pages 131-136, February.
- Rafał Weron, 2001.
"Levy-Stable Distributions Revisited: Tail Index> 2does Not Exclude The Levy-Stable Regime,"
International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 209-223.
- Rafal Weron, 2001. "Levy-stable distributions revisited: tail index > 2 does not exclude the Levy-stable regime," HSC Research Reports HSC/01/01, Hugo Steinhaus Center, Wroclaw University of Technology.
- Rafal Weron, 2003. "Levy-stable distributions revisited: tail index > 2 does not exclude the Levy-stable regime," Econometrics 0305003, University Library of Munich, Germany.
- Matsuba, Ikuo & Takahashi, Hiroshi, 2003. "Generalized entropy approach to stable Lèvy distributions with financial application," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 458-468.
- repec:nys:sunysb:93-02 is not listed on IDEAS
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2006.
"Nonidentically distributed variables and nonlinear autocorrelation,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 171-180.
- Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2005. "Nonidentically distributed variables and nonlinear autocorrelation," Finance 0508009, University Library of Munich, Germany.
- Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2005.
"Financial volatility and independent and identically distributed variables,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 484-498.
- Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2004. "Financial Volatility and Independent and Identically Distributed Variables," Finance 0407011, University Library of Munich, Germany.
- Yang, Honglin & Wan, Hong & Zha, Yong, 2013. "Autocorrelation type, timescale and statistical property in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(7), pages 1681-1693.
- Matsushita, Raul & Figueiredo, Annibal & Da Silva, Sergio, 2012. "A suggested statistical test for measuring bivariate nonlinear dependence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4891-4898.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Weron, Rafał, 2004. "Computationally intensive Value at Risk calculations," Papers 2004,32, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).
- Raul Matsushita & Iram Gleria & Annibal Figueiredo & Sergio Da Silva, 2004. "The Econophysics of the Brazilian Real-US Dollar Rate," Finance 0407012, University Library of Munich, Germany.
- Szymon Borak & Adam Misiorek & Rafał Weron, 2010.
"Models for Heavy-tailed Asset Returns,"
SFB 649 Discussion Papers
SFB649DP2010-049, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Szymon Borak & Adam Misiorek & Rafal Weron, 2010. "Models for Heavy-tailed Asset Returns," HSC Research Reports HSC/10/01, Hugo Steinhaus Center, Wroclaw University of Technology.
- Borak, Szymon & Misiorek, Adam & Weron, Rafal, 2010. "Models for Heavy-tailed Asset Returns," MPRA Paper 25494, University Library of Munich, Germany.
- Borak, Szymon & Misiorek, Adam & Weron, Rafał, 2010. "Models for heavy-tailed asset returns," SFB 649 Discussion Papers 2010-049, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
- Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2004. "On the origins of truncated Lévy flights," Finance 0404013, University Library of Munich, Germany.
- De Domenico, Federica & Livan, Giacomo & Montagna, Guido & Nicrosini, Oreste, 2023. "Modeling and simulation of financial returns under non-Gaussian distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).
- Adam Misiorek & Rafal Weron, 2010. "Heavy-tailed distributions in VaR calculations," HSC Research Reports HSC/10/05, Hugo Steinhaus Center, Wroclaw University of Technology.
- Makoto Maejima & Gennady Samorodnitsky, 1999. "Certain Probabilistic Aspects of Semistable Laws," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 51(3), pages 449-462, September.
- Lombardi, Marco J. & Calzolari, Giorgio, 2009.
"Indirect estimation of [alpha]-stable stochastic volatility models,"
Computational Statistics & Data Analysis, Elsevier, vol. 53(6), pages 2298-2308, April.
- Marco Lombardi & Giorgio Calzolari, 2006. "Indirect estimation of alpha-stable stochastic volatility models," Econometrics Working Papers Archive wp2006_07, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
- Foad Shokrollahi & Marcin Marcin Magdziarz, 2020. "Equity warrant pricing under subdiffusive fractional Brownian motion of the short rate," Papers 2007.12228, arXiv.org, revised Nov 2020.
- Furrer, Hansjorg & Michna, Zbigniew & Weron, Aleksander, 1997. "Stable Lévy motion approximation in collective risk theory," Insurance: Mathematics and Economics, Elsevier, vol. 20(2), pages 97-114, September.
- Michna, Zbigniew, 2008. "Asymptotic behavior of the supremum tail probability for anomalous diffusions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(2), pages 413-417.
- Jabłońska-Sabuka, Matylda & Teuerle, Marek & Wyłomańska, Agnieszka, 2017. "Bivariate sub-Gaussian model for stock index returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 628-637.
- Nolan, John P., 1998. "Parameterizations and modes of stable distributions," Statistics & Probability Letters, Elsevier, vol. 38(2), pages 187-195, June.
- Stoyan Stoyanov & Borjana Racheva-Iotova & Svetlozar Rachev & Frank Fabozzi, 2010. "Stochastic models for risk estimation in volatile markets: a survey," Annals of Operations Research, Springer, vol. 176(1), pages 293-309, April.
- Medino, Ary V. & Lopes, Sílvia R.C. & Morgado, Rafael & Dorea, Chang C.Y., 2012. "Generalized Langevin equation driven by Lévy processes: A probabilistic, numerical and time series based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 572-581.
- Matsushita, Raul & Rathie, Pushpa & Da Silva, Sergio, 2003.
"Exponentially damped Lévy flights,"
Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 326(3), pages 544-555.
- Sergio Da Silva, 2004. "Exponentially Damped Levy Flights," Finance 0406002, University Library of Munich, Germany.
- Marcin Magdziarz & Janusz Gajda, 2012. "Anomalous dynamics of Black–Scholes model time-changed by inverse subordinators," HSC Research Reports HSC/12/04, Hugo Steinhaus Center, Wroclaw University of Technology.
- Weron, Karina & Kotulski, Marcin, 1996. "On the Cole-Cole relaxation function and related Mittag-Leffler distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 180-188.
- Katarzyna Sznajd-Weron & Rafal Weron, 1997. "Evolution in a changing environment," HSC Research Reports HSC/97/01, Hugo Steinhaus Center, Wroclaw University of Technology.
- John C. Frain, 2007. "Small sample power of tests of normality when the alternative is an alpha-stable distribution," Trinity Economics Papers tep0207, Trinity College Dublin, Department of Economics.
More about this item
Keywords
Lévy flights; Autocorrelation; Slow convergence; Foreign exchange rates;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:337:y:2004:i:3:p:369-383. See general information about how to correct material in RePEc.
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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.