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Original Articles

Time Series Properties of the Class of Generalized First-Order Autoregressive Processes with Moving Average Errors

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Pages 2259-2275 | Received 29 Jul 2009, Accepted 09 Mar 2010, Published online: 13 Apr 2011

References

  • Abramowitz , M. , Segun , I. ( 1964 ). Handbook of Mathematical Functions . New York : Dover .
  • Beran , J. ( 1994 ). Statistics for Long-Memory Processes . New York : Chapman and Hall .
  • Brockwell , P. J. , Davis , R. A. ( 1996 ). Introduction to Time Series and Forecasting . New York : Springer .
  • Chen , G. , Abraham , B. , Peiris , S. ( 1994 ). Lag window estimation of the degree of differencing in fractionally integrated time series models . J. Time Ser. Anal. 15 : 473 – 487 .
  • Peiris , M. S. ( 2003 ). Improving the quality of forecasting using generalized AR models: an application to statistical quality control . Statist. Meth. 5 ( 2 ): 156 – 171 .
  • Peiris , S. , Thavaneswaran , A. ( 2007 ). An introduction to volatility models with indicies . Appl. Math. Lett. 20 : 177 – 182 .
  • Peiris , S. , Allen , D. , Thavaneswaran , A. ( 2004 ), An introduction to generalized moving average models and applications . J. Appl. Statist. Sci. 13 ( 3 ): 251 – 267 .
  • Priestly , M. B. ( 1981 ). Spectral Analysis and Time Series . New York : Academic Press .
  • Shitan , M. , Peiris , S. ( 2008 ). Generalised autoregressive (GAR) Model: a comparison of maximum likelihood and whittle estimation procedures using a simulation study . Commun. Statist. Simul. Computat. 37 ( 3 ): 560 – 570 .

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