A class of micropulses and antipersistent fractional Brownian motion
AbstractWe begin with stochastic processes obtained as sums of "up-and-down" pulses with random moments of birth [tau] and random lifetime w determined by a Poisson random measure. When the pulse amplitude [var epsilon] --> 0, while the pulse density [delta] increases to infinity, one obtains a process of "fractal sum of micropulses." A CLT style argument shows convergence in the sense of finite dimensional distributions to a Gaussian process with negatively correlated increments. In the most interesting case the limit is fractional Brownian motion (FBM), a self-affine process with the scaling constant . The construction is extended to the multidimensional FBM field as well as to micropulses of more complicated shape.
Download InfoIf 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.
Bibliographic InfoArticle provided by Elsevier in its journal Stochastic Processes and their Applications.
Volume (Year): 60 (1995)
Issue (Month): 1 (November)
Contact details of provider:
Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2007.
"Long Run and Cyclical Dynamics in the US Stock Market,"
CESifo Working Paper Series
2046, CESifo Group Munich.
- Guglielmo Maria Caporale & Luis A. Gil-Alana, 2005. "Long Run And Cyclical Dynamics In The Us Stock Market," Economics and Finance Discussion Papers 05-09, Economics and Finance Section, School of Social Sciences, Brunel University.
- Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2004. "Long-run and Cyclical Dynamics in the US Stock Market," Economics Series 155, Institute for Advanced Studies.
- L.A. Gil-Alana & G.M. caporale, 2004. "Long-run and Cyclical Dynamics in the US Stock Market," Econometric Society 2004 Latin American Meetings 344, Econometric Society.
- Dominique Guegan, 2005.
"How can we Define the Concept of Long Memory? An Econometric Survey,"
Taylor & Francis Journals, vol. 24(2), pages 113-149.
- Dominique Guegan, 2005. "How can we define the concept of long memory ? An econometric survey," Post-Print halshs-00179343, HAL.
- Guégan D., 2004. "How Can We Define The Concept of Long Memory? An Econometric Survey," School of Economics and Finance Discussion Papers and Working Papers Series 178, School of Economics and Finance, Queensland University of Technology.
- Rea, William & Oxley, Les & Reale, Marco & Brown, Jennifer, 2013. "Not all estimators are born equal: The empirical properties of some estimators of long memory," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 29-42.
- Francis X. Diebold & Atsushi Inoue, 2000.
"Long Memory and Regime Switching,"
NBER Technical Working Papers
0264, National Bureau of Economic Research, Inc.
- Guglielmo Maria Caporale & Luis Gil-Alana, 2004. "Long range dependence in daily stock returns," Applied Financial Economics, Taylor & Francis Journals, vol. 14(6), pages 375-383.
- Francis Ahking, 2010.
"Non-parametric tests of real exchange rates in the post-Bretton Woods era,"
Springer, vol. 39(2), pages 439-456, October.
- Francis W. Ahking, 2004. "Non-Parametric Tests of Real Exchange rates in the Post-Bretton Woods Era," Working papers 2004-05, University of Connecticut, Department of Economics.
- Luis Gil-Alana, 2003. "Stochastic behavior of nominal exchange rates," Atlantic Economic Journal, International Atlantic Economic Society, vol. 31(2), pages 159-173, June.
- Gourieroux, Christian & Jasiak, Joann, 2001. "Memory and infrequent breaks," Economics Letters, Elsevier, vol. 70(1), pages 29-41, January.
- Cioczek-Georges, R. & Mandelbrot, B. B., 1996. "Alternative micropulses and fractional Brownian motion," Stochastic Processes and their Applications, Elsevier, vol. 64(2), pages 143-152, November.
- Fischer, Christian & Gil-Alana, Luis A., 2006.
"The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine,"
98th Seminar, June 29-July 2, 2006, Chania, Crete, Greece
10049, European Association of Agricultural Economists.
- Christian Fischer & Luis Gil-Alana, 2009. "The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine," Applied Economics, Taylor & Francis Journals, vol. 41(11), pages 1345-1359.
- Fischer, Christian & Gil-Alana, Luis A., 2006. "The Nature of the Relationship between International Tourism and International Trade: The Case of German Imports of Spanish Wine," 2006 Annual Meeting, August 12-18, 2006, Queensland, Australia 25341, International Association of Agricultural Economists.
- Fischer, Christian & Gil-Alana, Luis A., 2007. "The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine," Discussion Papers 57033, University of Bonn, Institute for Food and Resource Economics.
- L. A. Gil-Alana, 2003. "A fractional integration analysis of the population in some OECD countries," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(10), pages 1147-1159.
- Luis Gil-Alana, 2004. "The dynamics of the real exchange rates in Europe: a comparative study across countries using fractional integration," Applied Economics Letters, Taylor & Francis Journals, vol. 11(7), pages 429-432.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
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.