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The Fractional Unit Root Distribution

Citations

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Cited by:

  1. Peter M Robinson, 2004. "The Distance between Rival Nonstationary Fractional Processes," STICERD - Econometrics Paper Series 468, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  2. Gallant, A. Ronald & Hsieh, David & Tauchen, George, 1997. "Estimation of stochastic volatility models with diagnostics," Journal of Econometrics, Elsevier, vol. 81(1), pages 159-192, November.
  3. 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.
  4. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
  5. Michelacci, Claudio & Zaffaroni, Paolo, 2000. "(Fractional) beta convergence," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 129-153, February.
  6. 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.
  7. Tkacz Greg, 2001. "Estimating the Fractional Order of Integration of Interest Rates Using a Wavelet OLS Estimator," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 5(1), pages 1-15, April.
  8. 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.
  9. Christian M. Hafner & Arie Preminger, 2016. "The effect of additive outliers on a fractional unit root test," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 100(4), pages 401-420, October.
  10. Wang, Qiying & Lin, Yan-Xia & Gulati, Chandra M., 2001. "Asymptotics for moving average processes with dependent innovations," Statistics & Probability Letters, Elsevier, vol. 54(4), pages 347-356, October.
  11. Jakob Roland Munch & Michael Svarer, "undated". "Mortality and Socio-economic Differences in a Competing Risks Model," Economics Working Papers 2001-1, Department of Economics and Business Economics, Aarhus University.
  12. Tanaka, Katsuto & 田中, 勝人, 2011. "Distributions of Quadratic Functionals of the Fractional Brownian Motion Based on a Martingale Approximation," Discussion Papers 2011-06, Graduate School of Economics, Hitotsubashi University.
  13. Lui, Yiu Lim & Phillips, Peter C.B. & Yu, Jun, 2024. "Robust testing for explosive behavior with strongly dependent errors," Journal of Econometrics, Elsevier, vol. 238(2).
  14. Bent Jesper Christensen & Robinson Kruse & Philipp Sibbertsen, 2013. "A unified framework for testing in the linear regression model under unknown order of fractional integration," CREATES Research Papers 2013-35, Department of Economics and Business Economics, Aarhus University.
  15. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.
  16. Eroğlu, Burak Alparslan, 2019. "Wavelet variance ratio cointegration test and wavestrapping," Journal of Multivariate Analysis, Elsevier, vol. 171(C), pages 298-319.
  17. Kramer, Walter, 1998. "Fractional integration and the augmented Dickey-Fuller Test," Economics Letters, Elsevier, vol. 61(3), pages 269-272, December.
  18. 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.
  19. Bae, Sang-Kun & Jensen, Mark J. & Murdock, Scott G., 2005. "Long-run neutrality in a fractionally integrated model," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 257-274, June.
  20. Daiqing Xi & Tianxiao Pang, 2021. "Estimating multiple breaks in mean sequentially with fractionally integrated errors," Statistical Papers, Springer, vol. 62(1), pages 451-494, February.
  21. 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.
  22. Krämer, Walter & Marmol, Francesc, 1998. "OLS-based asymptotic inference in linear regression models with trending regressors and AR(p)-disturbances," Technical Reports 1998,43, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
  23. Joann Jasiak, 2003. "First‐Order Autoregressive Processes with Heterogeneous Persistence," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(3), pages 283-309, May.
  24. Gonzalo, Jesus & Lee, Tae-Hwy, 1998. "Pitfalls in testing for long run relationships," Journal of Econometrics, Elsevier, vol. 86(1), pages 129-154, June.
  25. Christian Macaro, 2007. "The Impact of Vintage on the Persistence of Gross Domestic Product Shocks," CEIS Research Paper 101, Tor Vergata University, CEIS.
  26. Juan J. Dolado & Jesús Gonzalo & Laura Mayoral, 2005. "What is what?: A simple time-domain test of long-memory vs. structural breaks," Economics Working Papers 954, Department of Economics and Business, Universitat Pompeu Fabra.
  27. Jim Granato & Melody Lo & M. C. Sunny Wong, 2006. "Testing Monetary Policy Intentions in Open Economies," Southern Economic Journal, John Wiley & Sons, vol. 72(3), pages 730-746, January.
  28. Jamdee, Sutthisit & Los, Cornelis A., 2007. "Long memory options: LM evidence and simulations," Research in International Business and Finance, Elsevier, vol. 21(2), pages 260-280, June.
  29. David K. Backus & Stanley E. Zin, 1993. "Long-memory inflation uncertainty: evidence from the term structure of interest rates," Proceedings, Federal Reserve Bank of Cleveland, pages 681-708.
  30. Eisinga, Rob & Franses, Philip Hans & Ooms, Marius, 1999. "Forecasting long memory left-right political orientations," International Journal of Forecasting, Elsevier, vol. 15(2), pages 185-199, April.
  31. Javier Hualde & Morten {O}rregaard Nielsen, 2022. "Fractional integration and cointegration," Papers 2211.10235, arXiv.org.
  32. Jacobsen, Ben, 1996. "Long term dependence in stock returns," Journal of Empirical Finance, Elsevier, vol. 3(4), pages 393-417, December.
  33. Eroğlu, Burak Alparslan & Yiğit, Taner, 2016. "A nonparametric unit root test under nonstationary volatility," Economics Letters, Elsevier, vol. 140(C), pages 6-10.
  34. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
  35. Robinson Kruse & Christoph Wegener, 2019. "Explosive behaviour and long memory with an application to European bond yield spreads," Scottish Journal of Political Economy, Scottish Economic Society, vol. 66(1), pages 139-153, February.
  36. Cheng-few Lee & Keshab Shrestha & Robert Welch, 2007. "Relationship between Treasury bills and Eurodollars: Theoretical and Empirical Analyses," Review of Quantitative Finance and Accounting, Springer, vol. 28(2), pages 163-185, February.
  37. Breitung, Jorg, 2002. "Nonparametric tests for unit roots and cointegration," Journal of Econometrics, Elsevier, vol. 108(2), pages 343-363, June.
  38. Zongwu Cai & Bingyi Jing & Xinbing Kong & Zhi Liu, 2017. "Nonparametric regression with nearly integrated regressors under long‐run dependence," Econometrics Journal, Royal Economic Society, vol. 20(1), pages 118-138, February.
  39. Mohanty, Samarendu & Peterson, E. Wesley F. & Smith, Darnell B., 1998. "Price Integration In Mercosur Countries: A Fractional Cointegration Analysis," 1998 Annual meeting, August 2-5, Salt Lake City, UT 20954, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  40. Burak Eroglu, 2017. "Wavelet Variance Ratio Test And Wavestrapping For The Determination Of The Cointegration Rank," Working Papers 1706, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
  41. M. de Carvalho & K. F. Turkman & A. Rua, 2013. "Dynamic threshold modelling and the US business cycle," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 62(4), pages 535-550, August.
  42. Michael Batuo Enowbi & Francesco Guidi & Kupukile Mlambo, 2010. "Testing the Weak-form Market Efficiency and the Day of the Week Effects of some African Countries," The African Finance Journal, Africagrowth Institute, vol. 12(Conferenc), pages 1-26.
  43. Macaro, Christian, 2008. "The impact of vintage on the persistence of gross domestic product shocks," Economics Letters, Elsevier, vol. 98(3), pages 301-308, March.
  44. Hassler, Uwe & Breitung, Jörg, 2002. "A Residual-Based LM Test for Fractional Cointegration," Darmstadt Discussion Papers in Economics 114, Darmstadt University of Technology, Department of Law and Economics.
  45. Shi-Miin Liu & Chih-Hsien Chou, 2003. "Parities and Spread Trading in Gold and Silver Markets: A Fractional Cointegration Analysis," Applied Financial Economics, Taylor & Francis Journals, vol. 13(12), pages 899-911.
  46. Dolado, Juan J. & Marmol, Francesc, 1997. "On the properties of the Dickey-Pantula test against fractional alternatives," Economics Letters, Elsevier, vol. 57(1), pages 11-16, November.
  47. Mark J. Jensen, 2009. "The Long‐Run Fisher Effect: Can It Be Tested?," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(1), pages 221-231, February.
  48. Luis Gil-Alana, 2003. "Long memory in the interest rates in some Asian countries," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 9(4), pages 257-267, November.
  49. Winker, Peter, 1993. "Die Trägheit von Zinssätzen und Kreditrationierung in der Bundesrepublik Deutschland," Discussion Papers, Series II 208, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
  50. Kramer, Walter & Marmol, Francesc, 2004. "The power of residual-based tests for cointegration when residuals are fractionally integrated," Economics Letters, Elsevier, vol. 82(1), pages 63-69, January.
  51. Man, K.S. & Tiao, G.C., 2006. "Aggregation effect and forecasting temporal aggregates of long memory processes," International Journal of Forecasting, Elsevier, vol. 22(2), pages 267-281.
  52. Bhattacharyya, B.B. & Richardson, G.D. & Flores, P.V., 2006. "Unit roots: Periodogram ordinate," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 641-651, March.
  53. BENSALMA, Ahmed, 2021. "Fractional Dickey-Fuller test with or without prehistorical influence," MPRA Paper 107408, University Library of Munich, Germany.
  54. Laura Mayoral, 2007. "Minimum distance estimation of stationary and non-stationary ARFIMA processes," Econometrics Journal, Royal Economic Society, vol. 10(1), pages 124-148, March.
  55. Basma Bekdache & Christopher F. Baum, 1999. "A re-evaluation of empirical tests of the Fisher hypothesis," Computing in Economics and Finance 1999 944, Society for Computational Economics, revised 18 Sep 2000.
  56. Lee, Hyung S. & Amsler, Christine, 1997. "Consistency of the KPSS unit root test against fractionally integrated alternative," Economics Letters, Elsevier, vol. 55(2), pages 151-160, August.
  57. Johansen, Søren & Nielsen, Morten Ørregaard, 2010. "Likelihood inference for a nonstationary fractional autoregressive model," Journal of Econometrics, Elsevier, vol. 158(1), pages 51-66, September.
  58. Ozun, Alper & Cifter, Atilla, 2007. "Modeling Long-Term Memory Effect in Stock Prices: A Comparative Analysis with GPH Test and Daubechies Wavelets," MPRA Paper 2481, University Library of Munich, Germany.
  59. Abdol Soofi, 1998. "A fractional cointegration test of purchasing power parity: the case of selected members of OPEC," Applied Financial Economics, Taylor & Francis Journals, vol. 8(6), pages 559-566.
  60. Mohamed Boutahar, 2006. "Limiting distribution of the least squaresestimates in polynomial regression with longmemory noises," Working Papers halshs-00409571, HAL.
  61. Cho, Cheol-Keun & Amsler, Christine & Schmidt, Peter, 2015. "A test of the null of integer integration against the alternative of fractional integration," Journal of Econometrics, Elsevier, vol. 187(1), pages 217-237.
  62. Alex Maynard & Peter C. B. Phillips, 2001. "Rethinking an old empirical puzzle: econometric evidence on the forward discount anomaly," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 671-708.
  63. Hsu, Yu-Chin & Kuan, Chung-Ming, 2008. "Change-point estimation of nonstationary I(d) processes," Economics Letters, Elsevier, vol. 98(2), pages 115-121, February.
  64. Noor Ghazali & Shamshubariah Ramlee, 2003. "A long memory test of the long-run Fisher effect in the G7 countries," Applied Financial Economics, Taylor & Francis Journals, vol. 13(10), pages 763-769.
  65. Robinson, P.M., 2005. "The distance between rival nonstationary fractional processes," Journal of Econometrics, Elsevier, vol. 128(2), pages 283-300, October.
  66. Sandrine Lardic & Valérie Mignon & Claude Jessua, 1996. "Les tests de mémoire longue appartiennent-ils au "camp du démon" ?," Revue Économique, Programme National Persée, vol. 47(3), pages 531-540.
  67. Buguk, Cumhur & Wade Brorsen, B., 2003. "Testing weak-form market efficiency: Evidence from the Istanbul Stock Exchange," International Review of Financial Analysis, Elsevier, vol. 12(5), pages 579-590.
  68. Bensalma, Ahmed, 2015. "New Fractional Dickey and Fuller Test," MPRA Paper 65282, University Library of Munich, Germany.
  69. Tsay, Wen-Jen & Chung, Ching-Fan, 2000. "The spurious regression of fractionally integrated processes," Journal of Econometrics, Elsevier, vol. 96(1), pages 155-182, May.
  70. Robinson, Peter M., 2004. "The distance between rival nonstationary fractional processes," LSE Research Online Documents on Economics 2282, London School of Economics and Political Science, LSE Library.
  71. Liu, Ming, 2000. "Modeling long memory in stock market volatility," Journal of Econometrics, Elsevier, vol. 99(1), pages 139-171, November.
  72. Chaker Aloui & Duc Khuong Nguyen, 2014. "On the detection of extreme movements and persistent behaviour in Mediterranean stock markets: a wavelet-based approach," Applied Economics, Taylor & Francis Journals, vol. 46(22), pages 2611-2622, August.
  73. Mohanty, Samarendu & Peterson, E. Wesley F. & Smith, Darnell B., 1998. "Fractional Cointegration and the False Rejection of the Law of One Price in International Commodity Markets," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 30(2), pages 267-276, December.
  74. Marinucci, D. & Robinson, Peter M., 2001. "Narrow-band analysis of nonstationary processes," LSE Research Online Documents on Economics 303, London School of Economics and Political Science, LSE Library.
  75. Denisard Alves & Regina Celia Cati & Vera Lucia Fava, 2001. "Purchasing power parity in Brazil: a test for fractional cointegration," Applied Economics, Taylor & Francis Journals, vol. 33(9), pages 1175-1185.
  76. Diebold, Francis X. & Lindner, Peter, 1996. "Fractional integration and interval prediction," Economics Letters, Elsevier, vol. 50(3), pages 305-313, March.
  77. 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.
  78. Heinen, Florian & Willert, Juliane, 2011. "Monitoring a change in persistence of a long range dependent time series," Hannover Economic Papers (HEP) dp-479, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
  79. Wang, Chong, 1998. "Testing for purchasing power parity: a nonlinear approach," ISU General Staff Papers 1998010108000013534, Iowa State University, Department of Economics.
  80. Banerjee, Anindya & Urga, Giovanni, 2005. "Modelling structural breaks, long memory and stock market volatility: an overview," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 1-34.
  81. Sabzikar, Farzad & Surgailis, Donatas, 2018. "Invariance principles for tempered fractionally integrated processes," Stochastic Processes and their Applications, Elsevier, vol. 128(10), pages 3419-3438.
  82. Burak Eroglu & Kemal Caglar Gogebakan & Mirza Trokic, 2017. "Fractional Seasonal Variance Ratio Unit Root Tests," Working Papers 1707, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
  83. Lyhagen, Johan, 1998. "Maximum likelihood estimation of the multivariate fractional cointegrating model," SSE/EFI Working Paper Series in Economics and Finance 233, Stockholm School of Economics.
  84. Farzad Sabzikar & Qiying Wang & Peter C.B. Phillips, 2018. "Asymptotic Theory for Near Integrated Process Driven by Tempered Linear Process," Cowles Foundation Discussion Papers 2131, Cowles Foundation for Research in Economics, Yale University.
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