Maximum Likelihood Estimators for ARMA and ARFIMA Models: A Monte Carlo Study
Author
Abstract
Suggested Citation
Note: Type of Document - LaTex/Postscript/Zipped; prepared on ULTRIX HP; to print on PostScript; pages: 34 ; figures: 2 files (text.ps and figures.ps) in one zip-file. forthcoming in a special edition on long range dependence of the Journal of Statistical Planning and Inference
Download full text from publisher
References listed on IDEAS
- Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
- Cheung, Yin-Wong & Diebold, Francis X., 1994.
"On maximum likelihood estimation of the differencing parameter of fractionally-integrated noise with unknown mean,"
Journal of Econometrics, Elsevier, vol. 62(2), pages 301-316, June.
- Yin-Wong Cheung & Francis X. Diebold, 1990. "On maximum-likelihood estimation of the differencing parameter of fractionally integrated noise with unknown mean," Discussion Paper / Institute for Empirical Macroeconomics 34, Federal Reserve Bank of Minneapolis.
- Yin-Wong Cheung & Francis X. Diebold, 1993. "On maximum-likelihood estimation of the differencing parameter of fractionally integrated noise with unknown mean," Working Papers 93-5, Federal Reserve Bank of Philadelphia.
- Sowell, Fallaw, 1992. "Modeling long-run behavior with the fractional ARIMA model," Journal of Monetary Economics, Elsevier, vol. 29(2), pages 277-302, April.
- T. W. Anderson & Akimichi Takemura, 1986. "Why Do Noninvertible Estimated Moving Averages Occur?," Journal of Time Series Analysis, Wiley Blackwell, vol. 7(4), pages 235-254, July.
- Ansley, Craig F. & Newbold, Paul, 1980. "Finite sample properties of estimators for autoregressive moving average models," Journal of Econometrics, Elsevier, vol. 13(2), pages 159-183, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Silverberg, Gerald & Verspagen, Bart, 1999.
"Long Memory in Time Series of Economic Growth and Convergence,"
Research Memorandum
015, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
- Silverberg, G. & Verspagen, Bart, 1999. "Long Memory in Time Series of Economic Growth and Convergence," Working Papers 99.8, Eindhoven Center for Innovation Studies.
- B. Verspagen & G. Silverberg, 2000.
"A note on Michelacci and Zaffaroni, long memory, and time series of economic growth,"
Working Papers
00.17, Eindhoven Center for Innovation Studies.
- Silverberg, Gerald & Verspagen, Bart, 2000. "A Note on Michelacci and Zaffaroni, Long Memory, and Time Series of Economic Growth," Research Memorandum 031, Maastricht University, Maastricht Economic Research Institute on Innovation and Technology (MERIT).
- Tata Subba Rao & Granville Tunnicliffe Wilson & Joao Jesus & Richard E. Chandler, 2017. "Inference with the Whittle Likelihood: A Tractable Approach Using Estimating Functions," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(2), pages 204-224, March.
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.- Koop, Gary & Ley, Eduardo & Osiewalski, Jacek & Steel, Mark F. J., 1997.
"Bayesian analysis of long memory and persistence using ARFIMA models,"
Journal of Econometrics, Elsevier, vol. 76(1-2), pages 149-169.
- KOOP , Gary & LEY , Eduardo & OSIEWALSKI , Jacek & STEEL , Mark, 1995. "Bayesian Analysis of Long Memory and Persistence using ARFIMA Models," LIDAM Discussion Papers CORE 1995035, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Koop, G. & Ley, E. & Osiewalski, J. & Steel, M. F. J., 1997. "Bayesian analysis of long memory and persistence using ARFIMA models," LIDAM Reprints CORE 1246, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Gary Koop & Eduardo Ley & Jacek Osiewalski & Mark F.J. Steel, 1995. "Bayesian Analysis of Long Memory and Persistence using ARFIMA Models," Econometrics 9505001, University Library of Munich, Germany, revised 22 Jun 2004.
- Gary Koop, 1995. "Bayesian Analysis of Long Memory and Persistence using ARFIMA Models," Working Papers gkoop-95-01, University of Toronto, Department of Economics.
- Jesus Gonzalo & Tae-Hwy Lee, 2000.
"On the robustness of cointegration tests when series are fractionally intergrated,"
Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(7), pages 821-827.
- Lee, T.H. & Gonzalo, J., 1995. "On the Robustness of Cointegration Tests when Series Are Fractionally Integrated," The A. Gary Anderson Graduate School of Management 95-11, The A. Gary Anderson Graduate School of Management. University of California Riverside.
- Gonzalo, Jesús & Lee, Tae-Hwy, 1996. "On the robustness of cointegration tests when series are fractionally integrated," DES - Working Papers. Statistics and Econometrics. WS 4542, Universidad Carlos III de Madrid. Departamento de EstadÃstica.
- Ana Pérez & Esther Ruiz, 2002.
"Modelos de memoria larga para series económicas y financieras,"
Investigaciones Economicas, Fundación SEPI, vol. 26(3), pages 395-445, September.
- Pérez, Ana, 2001. "Modelos de memoria larga para series económicas y financieras," DES - Documentos de Trabajo. EstadÃstica y EconometrÃa. DS ds010101, Universidad Carlos III de Madrid. Departamento de EstadÃstica.
- Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996.
"Fractionally integrated generalized autoregressive conditional heteroskedasticity,"
Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
- Tom Doan, "undated". "RATS programs to replicate Baillie, Bollerslev, Mikkelson FIGARCH results," Statistical Software Components RTZ00009, Boston College Department of Economics.
- Jensen Mark J., 1999.
"An Approximate Wavelet MLE of Short- and Long-Memory Parameters,"
Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-17, January.
- Mark J. Jensen, 1998. "An Approximate Wavelet MLE of Short and Long Memory Parameters," Econometrics 9802003, University Library of Munich, Germany, revised 21 Jun 1999.
- Mark J. Jensen, 1999. "An Approximate Wavelet MLE of Short- and Long-Memory Parameters," Computing in Economics and Finance 1999 1243, Society for Computational Economics.
- Morten Ørregaard Nielsen & Per Houmann Frederiksen, 2005.
"Finite Sample Comparison of Parametric, Semiparametric, and Wavelet Estimators of Fractional Integration,"
Econometric Reviews, Taylor & Francis Journals, vol. 24(4), pages 405-443.
- Morten Ø. Nielsen & Per Houmann Frederiksen, 2005. "Finite Sample Comparison Of Parametric, Semiparametric, And Wavelet Estimators Of Fractional Integration," Working Paper 1189, Economics Department, Queen's University.
- Stephen R. Blough, 1994. "Near common factors and confidence regions for present value models," Working Papers 94-3, Federal Reserve Bank of Boston.
- Chung, Ching-Fan, 1996. "Estimating a generalized long memory process," Journal of Econometrics, Elsevier, vol. 73(1), pages 237-259, July.
- Valérie Mignon, 1998. "Méthodes d'estimation de l'exposant de Hurst. Application aux rentabilités boursières," Économie et Prévision, Programme National Persée, vol. 132(1), pages 193-214.
- Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
- Bhardwaj, Geetesh & Swanson, Norman R., 2006.
"An empirical investigation of the usefulness of ARFIMA models for predicting macroeconomic and financial time series,"
Journal of Econometrics, Elsevier, vol. 131(1-2), pages 539-578.
- Geetesh Bhardwaj & Norman Swanson, 2004. "An Empirical Investigation of the Usefulness of ARFIMA Models for Predicting Macroeconomic and Financial Time Series," Departmental Working Papers 200422, Rutgers University, Department of Economics.
- John Barkoulas & Christopher Baum & Mustafa Caglayan, 1999.
"Fractional monetary dynamics,"
Applied Economics, Taylor & Francis Journals, vol. 31(11), pages 1393-1400.
- John Barkoulas & Christopher F. Baum & Mustafa Caglayan, 1998. "Fractional Monetary Dynamics," Boston College Working Papers in Economics 321., Boston College Department of Economics.
- Giorgio Canarella & Luis A. Gil-Alana & Rangan Gupta & Stephen M. Miller, 2022.
"Globalization, long memory, and real interest rate convergence: a historical perspective,"
Empirical Economics, Springer, vol. 63(5), pages 2331-2355, November.
- Giorgio Canarella & Luis A. Gil-Alana & Rangan Gupta & Stephen M. Miller, 2020. "Globalization, Long Memory, and Real Interest Rate Convergence: A Historical Perspective," Working Papers 2020106, University of Pretoria, Department of Economics.
- SangKun Bae & Mark J. Jensen, 1998. "Long-Run Neutrality in a Long-Memory Model," Macroeconomics 9809006, University Library of Munich, Germany, revised 21 Apr 1999.
- Luis A. Gil-Alana & Antonio Moreno & Seonghoon Cho, 2012.
"The Deaton paradox in a long memory context with structural breaks,"
Applied Economics, Taylor & Francis Journals, vol. 44(25), pages 3309-3322, September.
- Luis A. Gil-Alana & Antonio Moreno & Seonghoon Cho, 2009. "The Deaton paradox in a long memory context with structural breaks," Faculty Working Papers 03/09, School of Economics and Business Administration, University of Navarra.
- Luis Alberiko Gil-Alana & Antonio Moreno & Seonghoon Cho, 2011. "The Deaton paradox in a long memory context with structural breaks," Post-Print hal-00711450, HAL.
- Gadea, Maria Dolores & Sabate, Marcela & Serrano, Jose Maria, 2004. "Structural breaks and their trace in the memory: Inflation rate series in the long-run," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 14(2), pages 117-134, April.
- Richard T. Baillie & George Kapetanios, 2006.
"Nonlinear Models with Strongly Dependent Processes and Applications to Forward Premia and Real Exchange Rates,"
Working Papers
570, Queen Mary University of London, School of Economics and Finance.
- Richard T. Baillie & George Kapetanios, 2006. "Nonlinear Models with Strongly Dependent Processes and Applications to Forward Premia and Real Exchange Rates," Working Papers 570, Queen Mary University of London, School of Economics and Finance.
- Ghysels, E. & Harvey, A. & Renault, E., 1995.
"Stochastic Volatility,"
Papers
95.400, Toulouse - GREMAQ.
- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- GHYSELS, Eric & HARVEY, Andrew & RENAULT, Eric, 1995. "Stochastic Volatility," LIDAM Discussion Papers CORE 1995069, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche 9613, Universite de Montreal, Departement de sciences economiques.
- Eric Ghysels & Andrew Harvey & Eric Renault, 1995. "Stochastic Volatility," CIRANO Working Papers 95s-49, CIRANO.
- Chong, Terence Tai-Leung, 2000.
"Estimating the differencing parameter via the partial autocorrelation function,"
Journal of Econometrics, Elsevier, vol. 97(2), pages 365-381, August.
- Terence Tai-Leung, Chong, 1998. "Estimating the Differencing Parameter Via the Partial Autocorrelation Function," Departmental Working Papers _088, Chinese University of Hong Kong, Department of Economics.
- Sandrine Lardic & Valérie Mignon, 2004. "Fractional cointegration and the term structure," Empirical Economics, Springer, vol. 29(4), pages 723-736, December.
More about this item
Keywords
fractional integration; Whittle likelihood; modified profile likelihood; data taper; pile-up effect;All these keywords.
JEL classification:
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
NEP fields
This paper has been announced in the following NEP Reports:- NEP-ECM-1998-12-09 (Econometrics)
- NEP-ETS-1998-12-09 (Econometric Time Series)
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:wpa:wuwpem:9809001. 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: EconWPA (email available below). General contact details of provider: https://econwpa.ub.uni-muenchen.de .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.