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Original Articles

On the estimation of missing values in AR(1) model with exponential innovations

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Pages 3393-3400 | Received 23 Nov 2014, Accepted 01 Jun 2015, Published online: 21 Apr 2016

References

  • Anděl, J. (1988). On AR(1) Process with exponential white noise. Commun. Stat. Theory Methods 17:1481–1495.
  • Barndorff-Nielsen, O.E., Shephard, N. (2001). Non-Gaussian Ornstein–Uhlenbeck-based models and some of their uses in financial economics (with discussion). J. R Stat. Soc. Ser. B 63:167–241.
  • Barndorff-Nielsen, O.E., Shephard, N. (2003). Likelihood analysis of a first-order autoregressive model with exponential innovations. J. Time Ser. Anal. 24(3):337–344.
  • Bell, C.B., Smith, E.P. (1986). Inference for non-negative autoregressive schemes. Commun. Stat. Theory Methods 15(8):2267–2293.
  • Brevern, A., Hazout, S., Malpertuy, A. (2004). Influence of microarrays experiments missing values on the stability of gene groups by hierarchical clustering. BMC Bioinf. 5, article 114.
  • Brockwell, P.J., Davis, R.A. (1991). Time Series: Theory and Methods, 2nd edn. New York: Springer-Verlag.
  • Hamaz, A., Ibazizen, M. (2009). Comparison of two estimation methods of missing values using Pitman-Closeness Criterion. Commun. Stat. Theory Methods 38:2210–2213.
  • Ibazizen, M., Fellag, H. (2003). Bayesian estimation of an AR(1) process with exponential white noise. Statistics 37(5):365–372.
  • Lawrence, A.J., Lewis, P.A.W. (1985). Modeling and residual analysis of nonlinear autoregressive time series in exponential variables. J. R. Stat. Soc. B 47:165–202.
  • Pourahmadi, M. (1989). Estimation and interpolation of missing values of a stationary time series. J. Time Ser. Anal. 10:149–169.
  • Pourahmadi, M. (2001). Foundations of Time Series Analysis and Prediction Theory. New York: Wiley.
  • Roy, S.S., Chakraborty, S. (2006). Prediction problems related to the first order autoregressive process in the presence of outliers. Appl. Math. 33:265–274.
  • Shumway, R.H., Stoffer, D.S. (2011). Time Series Analysis and Its Applications, with R Examples, 3rd edn. New York: Springer-Verlag.
  • Wenzel, T. (2002). Pitman-closeness as a measure to evaluate the quality of forecasts. Commun. Stat. Theory Methods 31:535–550.

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