A Note on Unit Root Tests with Infinite Variance Noise
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DOI: 10.1080/07474930802458638
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- Hall, Joyce A. & Brorsen, B. Wade & Irwin, Scott H., 1989.
"The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses,"
Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(1), pages 105-116, March.
- Hall, Joyce A. & Brorsen, B. Wade & Irwin, Scott H., 1987. "The Distribution of Futures Prices: A Test of the Stable Paretian and Mixture of Normals Hypotheses," 1987 Annual Meeting, August 2-5, East Lansing, Michigan 269968, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- Barry Falk & Chun-Hsuan Wang, 2003.
"Testing long-run PPP with infinite-variance returns,"
Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 471-484.
- Falk, Barry L. & Wang, Chun-Hsuan, 2003. "Testing Long-Run Ppp with Infinite-Variance Returns," Staff General Research Papers Archive 10323, Iowa State University, Department of Economics.
- K. D. Patterson & S. M. Heravi, 2003. "The impact of fat-tailed distributions on some leading unit roots tests," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(6), pages 635-667.
- Herce, Miguel A., 1996. "Asymptotic Theory of LAD Estimation in a Unit Root Process with Finite Variance Errors," Econometric Theory, Cambridge University Press, vol. 12(1), pages 129-153, March.
- Phillips, Peter C B & McFarland, James W & McMahon, Patrick C, 1996.
"Robust Tests of Forward Exchange Market Efficiency with Empirical Evidence from the 1920s,"
Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 1-22, Jan.-Feb..
- Peter C.B. Phillips & James W. McFarland & Patrick C. McMahon, 1994. "Robust Tests of Forward Exchange Market Efficiency with Empirical Evidence from the 1920's," Cowles Foundation Discussion Papers 1080, Cowles Foundation for Research in Economics, Yale University.
- Nunzio Cappuccio & Diego Lubian, 2006. "Local Asymptotic Distributions of Stationarity Tests," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(3), pages 323-345, May.
- Phillips, P.C.B., 1990.
"Time Series Regression With a Unit Root and Infinite-Variance Errors,"
Econometric Theory, Cambridge University Press, vol. 6(1), pages 44-62, March.
- Peter C.B. Phillips, 1989. "Time Series Regression with a Unit Root and Infinite Variance Errors," Cowles Foundation Discussion Papers 897R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
- Ling, Shiqing & McAleer, Michael, 2004.
"Regression quantiles for unstable autoregressive models,"
Journal of Multivariate Analysis, Elsevier, vol. 89(2), pages 304-328, May.
- Ling, S. & McAleer, M., 2001. "Regression Quantiles for Unstable Autoregressive Models," ISER Discussion Paper 0526, Institute of Social and Economic Research, Osaka University.
- Shiqing Ling & Michael McAleer, 2003. "Regression Quantiles for Unstable Autoregressive Models," CIRJE F-Series CIRJE-F-205, CIRJE, Faculty of Economics, University of Tokyo.
- Beveridge, Stephen & Nelson, Charles R., 1981. "A new approach to decomposition of economic time series into permanent and transitory components with particular attention to measurement of the `business cycle'," Journal of Monetary Economics, Elsevier, vol. 7(2), pages 151-174.
- Davis, Richard A. & Knight, Keith & Liu, Jian, 1992. "M-estimation for autoregressions with infinite variance," Stochastic Processes and their Applications, Elsevier, vol. 40(1), pages 145-180, February.
- Hasan, Mohammad N., 2001. "Rank tests of unit root hypothesis with infinite variance errors," Journal of Econometrics, Elsevier, vol. 104(1), pages 49-65, August.
- M. N. Hasan & R. W. Koenker, 1997. "Robust Rank Tests of the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 65(1), pages 133-162, January.
- Boothe, Paul & Glassman, Debra, 1987. "The statistical distribution of exchange rates: Empirical evidence and economic implications," Journal of International Economics, Elsevier, vol. 22(3-4), pages 297-319, May.
- Koedijk, Kees G & Kool, Clemens J M, 1992. "Tail Estimates of East European Exchange Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 83-96, January.
- Pollard, David, 1991. "Asymptotics for Least Absolute Deviation Regression Estimators," Econometric Theory, Cambridge University Press, vol. 7(2), pages 186-199, June.
- Lau, Amy Hing-Ling & Lau, Hon-Shiang & Wingender, John R, 1990. "The Distribution of Stock Returns: New Evidence against the Stable Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 217-223, April.
- Benoit Mandelbrot, 1967. "The Variation of Some Other Speculative Prices," The Journal of Business, University of Chicago Press, vol. 40, pages 393-393.
- Vygantas Paulaauskas & Svetlozar Rachev, 2003. "Maximum likelihood estimators in regression models with infinite variance innovations," Statistical Papers, Springer, vol. 44(1), pages 47-65, January.
- Knight, Keith, 1991. "Limit Theory for M-Estimates in an Integrated Infinite Variance," Econometric Theory, Cambridge University Press, vol. 7(2), pages 200-212, June.
- So, Jacky C, 1987. "The Sub-Gaussian Distribution of Currency Futures: Stable Peretian or Nonstationary?," The Review of Economics and Statistics, MIT Press, vol. 69(1), pages 100-107, February.
- Nunzio Cappuccio & Diego Lubian, 2003. "Asymptotic null distributions of stationarity and nonstationarity," Working Papers 08/2003, University of Verona, Department of Economics.
- Roger Koenker & Zhijie Xiao, 2004. "Unit Root Quantile Autoregression Inference," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 775-787, January.
- Shiqing Ling, 2005. "Self‐weighted least absolute deviation estimation for infinite variance autoregressive models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(3), pages 381-393, June.
- Caner, Mehmet, 1998. "Tests for cointegration with infinite variance errors," Journal of Econometrics, Elsevier, vol. 86(1), pages 155-175, June.
- Agnieszka Jach & Piotr Kokoszka, 2004. "Subsampling Unit Root Tests for Heavy-Tailed Observations," Methodology and Computing in Applied Probability, Springer, vol. 6(1), pages 73-97, March.
- Wojciech Charemza & Daniela Hristova & Peter Burridge, 2005. "Is inflation stationary?," Applied Economics, Taylor & Francis Journals, vol. 37(8), pages 901-903.
- Akgiray, Vedat & Booth, G Geoffrey, 1988. "The Stable-Law Model of Stock Returns," Journal of Business & Economic Statistics, American Statistical Association, vol. 6(1), pages 51-57, January.
- Chan, Ngai Hang & Tran, Lanh Tat, 1989. "On the First-Order Autoregressive Process with Infinite Variance," Econometric Theory, Cambridge University Press, vol. 5(3), pages 354-362, December.
- Benoit Mandelbrot, 2015.
"The Variation of Certain Speculative Prices,"
World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78,
World Scientific Publishing Co. Pte. Ltd..
- Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394-394.
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Cited by:
- Guili Liao & Qimeng Liu & Rongmao Zhang & Shifang Zhang, 2022. "Rank test of unit‐root hypothesis with AR‐GARCH errors," Journal of Time Series Analysis, Wiley Blackwell, vol. 43(5), pages 695-719, September.
- Jungjun Choi & In Choi, 2019.
"Maximum likelihood estimation of autoregressive models with a near unit root and Cauchy errors,"
Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 71(5), pages 1121-1142, October.
- Jungjun Choi & In Choi, 2016. "Maximum Likelihood Estimation of Autoregressive Models with a Near Unit Root and Cauchy Errors," Working Papers 1612, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).
- repec:bot:quadip:118 is not listed on IDEAS
- Cavaliere, Giuseppe & Georgiev, Iliyan, 2013.
"Exploiting Infinite Variance Through Dummy Variables In Nonstationary Autoregressions,"
Econometric Theory, Cambridge University Press, vol. 29(6), pages 1162-1195, December.
- Giuseppe Cavaliere & Iliyan Georgiev, 2013. "Exploiting infinite variance through Dummy Variables in non-stationary autoregressions," Quaderni di Dipartimento 1, Department of Statistics, University of Bologna.
- Fatma Ozgu Serttas, 2018. "Infinite-Variance Error Structure in Finance and Economics," International Econometric Review (IER), Econometric Research Association, vol. 10(1), pages 14-23, April.
- Serttas, Fatma Ozgu, 2010. "Essays on infinite-variance stable errors and robust estimation procedures," ISU General Staff Papers 201001010800002742, Iowa State University, Department of Economics.
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Keywords
Infinite variance; M-estimators; Stable laws; Unit roots;All these keywords.
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