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Statistical Practice

A New Test for Short Memory in Long Memory Time Series

Pages 182-190 | Received 01 May 2013, Published online: 27 Aug 2015

REFERENCES

  • Anderson, T.W., and Walker, A.M. (1964), “On the Asymptotic Distribution of the Autocorrelations of a Sample From a Linear Stochastic Process,” Annals of Mathematical Statistics, 35, 1296–1303.
  • Baillie, R.T. (1996), “Long Memory Processes and Fractional Integration in Econometrics,” Journal of Econometrics, 73, 5–59.
  • Barkoulas, J.T., and Baum, C.F. (1996), “Long-Term Dependence in Stock Returns,” Economics Letters, 53, 253–259.
  • Beran, J. (1993), “Fitting Long-Memory Models by Generalized Linear Regression,” Biometrika, 80, 817–822.
  • Beran, J., Bhansali, R.J., and Ocker, D. (1998), “On Unified Model Selection for Stationary and Nonstationary Short- and Long-Memory Autoregressive Processes,” Biometrika, 85, 921–934.
  • Bisaglia, L. (2002), “Model Selection for Long-Momory Models,” Quaderni di Statistica, 4, 33–49.
  • Box, G. E.P., Jenkins, G.M., and Reinsel, G.C. (2008), Time Series Analysis: Forecasting and Control (4th ed.), Hoboken, NJ: Wiley.
  • Brockwell, P.J., and Davis, R.A. (1991), Time Series: Theory and Methods (2nd ed.), New York: Springer.
  • Cheung, Y.-W. (1993), “Long Memory in Foreign-Exchange Rates,” Journal of Business & Economic Statistics, 11, 93–101.
  • Geweke, J.F., and Porter-Hudak, S. (1983), “The Estimation and Application of Long Memory Time Series Models,” Journal of Time Series Analysis, 4, 221–238.
  • Gil-Alana, L.A. (2005), “Statistical Modeling of the Temperatures in the Northern Hemisphere Using Fractional Integration Techniques,” Journal of Climate, 18, 5357–5369.
  • Haslett, J., and Raftery, A. (1989), “Space-Time Modelling With Long-Memory Dependence: Assessing Ireland's Wind Power Resource,” Applied Statistics, 38, 1–50.
  • Hassler, U., and Wolters, J. (1995), “Long Memory in Inflation Rates: International Evidence,” Journal of Business & Economic Statistics, 13, 37–45.
  • Hosking, J. R.M. (1981), “Fractional Differencing,” Biometrika, 68, 165–176.
  • Hosking, J. R.M. (1996), “Asymptotic Distributions of the Sample Mean, Autocovariances, and Autocorrelations of Long-Memory Time Series,” Journal of Econometrics, 73, 261–284.
  • Lee, J., and Ko, K. (2009), “First-Order Bias Correction for Fractionally Integrated Time Series,” Canadian Journal of Statistics, 37, 476–493.
  • Lieberman, O. (2001), “Penalised Maximum Likelihood Estimation for Fractional Gaussian Processes,” Biometrika, 88, 888–894.
  • Ling, S. (2003), “Adaptive Estimators and Tests of Stationary and Nonstationary Short- and Long-Memory ARFIMA-GARCH Models,” Journal of the American Statistical Association, 98, 955–967.
  • Ljung, G.M., and Box, G. E.P. (1978), “On a Measure of Lack of Fit in Time Series Models,” Biometrika, 65, 297–303.
  • Newbold, P., and Agiakloglou, C. (1993), “Bias in the Sample Autocorrelations of Fractional Noise,” Biometrika, 80, 698–702.
  • Palma, W. (2007), Long-Memory Time Series: Theory and Methods, Hoboken, NJ: Wiley.
  • Reisen, V., Abraham, B., and Lopes, S. (2001), “Estimation of Parameters in ARFIMA Processes: A Simulation Study,” Communications in Statistics, Part B: Simulation and Computation, 30, 787–803.
  • Robinson, P.M. (1995), “Gaussian Semiparametric Estimation of Long Range Dependence,” Annals of Statistics, 23, 1630–1661.
  • Shumway, R.H., and Stoffer, D.S. (2011), Time Series Analysis and Its Applications With R Examples (3rd ed.), New York: Springer.
  • Smith, J., Taylor, N., and Yadav, S. (1997), “Comparing the Bias and Misspecification in ARFIMA Models,” Journal of Time Series Analysis, 18, 507–527.
  • Sowell, F. (1992), “Maximum Likelihood Estimation of Stationary Univariate Fractionally Integrated Time Series Models,” Journal of Econometrics, 53, 165–188.
  • Taqqu, M.S., Teverovsky, V., and Willinger, W. (1995), “Estimators for Long-range Dependence: An Empirical Study,” Fractals, 3, 785–798.
  • Whitcher, B., Byers, S.D., Guttorp, P., and Percival, D.B. (2002), “Testing for Homogeneity of Variance in Time Series: Long Memory, Wavelets, and the Nile River,” Water Resources Research, 38, 1054.
  • Willinger, W., Taqqu, M.S., Leland, W.E., and Wilson, D.V. (1995), “Self-Similarity in High-Speed Packet Traffic: Analysis and Modeling of Ethernet Traffic Measurements,” Statistical Science, 10, 67–85.

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